Category: Area-of-triangle

K.C.S.E Mathematics Q & A - MODEL 2019PP1QN22

23/9/2020

Form 2 Mathematics

The figure below represents a triangular tower garden ABC in which AB = 4 in, BC = 5m and ∠BCA = 30°. Point D lies on AC such that BD = 4 m and ∠BDC is obtuse.

Find, correct to 2 decimal places:
(a) ∠BDC;
(b) the length of AD;
(c) the length of DC;
(d) the area of the flower garden ABC.

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K.C.S.E Mathematics Q & A - MODEL 2018PP1QN21

20/9/2020

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Form 2 Mathematics

The figure below shows two triangles, ABC and BCD with a common base BC = 3.4 cm. AC = 7.2 cm, CD = 7.5 cm and ABC = 90°.
The area of triangle ABC = Area of triangle ∠BCD.

Calculate, correct to one decimal place:
(a) the area of triangle ABC;
(b) the size of ∠BCD;
(c) the length of BD;
(d) the size of ∠BDC.

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN20

16/9/2020

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Form 4 Mathematics

In the figure below (not drawn to scale), AB 11cm, BC = 8cm, AD = 3 cm, AC 5cm and angle DAC is a right angle.

Calculate, correct to one decimal place:
(a) the length DC;
(b) the size of angle ADC;
(c) the size of angle ACB;
(d) the area of the quadrilateral ABCD

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN09

15/9/2020

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Form 1 Mathematics

A garden is in the shape of a right angled triangle. The length of the shortest side is l7 m and the area of the garden is 346.8 m². Calculate the length of the longest side of the garden.

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN04

15/9/2020

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Form 2 Mathematics

In the triangle ABC below, BC = 12 cm, angle ABC = 80° and angle ACB = 30°.

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN20

10/9/2020

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Form 2 Mathematics

In the figure below, AC = 12cm, AD =15 cm and B is point on AC, <BAD= DB=30.

Calculate , correct to one decimal place
a) The length of CD:
b) The length of AB
c) The area of triangle BCD
d) The size of <BDC

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN15

10/9/2020

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Form 1 Mathematics

A tailor had a piece of cloth in the shape of a trapezium. The perpendicular distance between the two parallel edges was 30cm. The lengths of the two parallel edges were 36 cm and 60cm. The tailor cut off a semi circular piece of the cloth of radius 14cm from the 60cm edge.
Calculate the area of the remaining piece of cloth. (Take π = 22/7)

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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN23

7/9/2020

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Form 1 Mathematics

The figure below represents a piece of land in the shape of a quadrilateral in which AB =240M, BC = 70m CD = 200m ˂BCD = 150⁰ ˂ABC = 90⁰

Calculate
(a) The size of ˂BAC correct to 2decimal places
(b) The length AD correct to one decimal place
(c) The area of the piece of land, in hectares, correct to 2 decimal places

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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN20

7/9/2020

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Form 2 Mathematics

The figure below shows a right pyramid VABCDE. The base ABCDE is regular pentagon. AO = 15cm and VO = 36 cm.

Calculate:
(a) The area of the base correct to 2 decimal places
(b) The length AV
(c) The surface area of the correct to 2decimal places
(d) The volume of the pyramid correct to 4 significant figures

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K.C.S.E Mathematics Q & A - MODEL 2012PP1QN24

31/8/2020

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Form 2 Mathematics

In the figure below, PQ is parallel to RS. The lines PS and RQ intersect at T. RQ = 10 cm, RT:TQ = 3:2, angle PQT = 40° and angle RTS - 80°.

(a) Find the length of RT.
(b) Determine, correct to 2 significant figures:
(i) the perpendicular distance between PQ and RS;
(ii) the length of TS.
(c) Using the cosine rule, find the length of RS correct to 2 significant figures.
(d) Calculate, correct to one decimal place, the area of triangle RST.

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K.C.S.E Mathematics Q & A - MODEL 2011PP1QN20

27/8/2020

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Form 2 Mathematics

In a triangle ABC, BC =8 cm, AC= 12 cm and angle ABC = 120°.
(a) Calculate the length of AB, correct to one decimal place.
(b) If BC is the base of the triangle, calculate, correct to one decimal place:
(i) the perpendicular height of the triangle;
(ii) the area of the triangle;
(iii) the size of angle ACB.

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K.C.S.E Mathematics Q & A - MODEL 2006PP1QN21

10/8/2020

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Form 2 Mathematics

The figure below represents a quadrilateral piece of land ABCD divided into three triangular plots The lengths BE and CD are 100m and 80m respectively. Angle ABE = 30⁰,angle ACE = 45⁰and angle ACD = 100⁰

Find to four significant figures:
(i) The length of AE
(ii) The length of AD
(iii) the perimeter of the piece of land
(b) The plots are to be fenced with five strands of barbed wire leaving an entrance of 2.8 m wide to each plot. The type of barbed wire to be used is sold in rolls of lengths 480m.
Calculate the number of rolls of barbed wire that must be bought to complete the fencing of the plots

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K.C.S.E Mathematics Q & A - MODEL 2006PP1QN06

9/8/2020

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Form 2 Mathematics

The length of a rectangle is (3x + 1) cm, its width is 3 cm shorter than its length. Given that the area of the rectangle is 28cm², find its length.

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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN17

8/7/2020

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Form 2 Mathematics | Topical Questions and Answers

A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m

(a) Calculate the:
- (i) Area of the plot in square metres
- (ii) Acute angle between the edges AB and BC
(b) A water tap is to be installed inside the plot such that the tap is equidistant from each of the vertices A, B and C. Calculate the distance of the tap.

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN18

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

A triangle plot of land ABC is such that AB= 34 m, AC=66m and ∠BAC = 96.7⁰

(a) Calculate the length of BC
(b) In order to subdivide the plot, a fencing post P is located on BC such that BP: PC = 1:3. Calculate the area of the plot ABC and hence find the area of the triangular subdivision APB.
(c) A water pipe running though the subdivision APB is parallel to AB and divides the area in the ratio 4:5 where the bigger portion is a trapezium. Calculate the distance of the pipe from P.