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1) Find the area of the triangle If:
a) base= 24cm, height= 15cm. 180 cm²
b) base= 15cm, height= 9.6cm. 72cm²
c) base= 2m, height= 15cm. 0.15m²
d) base= 40cm, height= 10cm. 200cm²
2) Find the area of the triangle whose sides are
a) 3,4,5 cm respectively. 6cm²
b) 30m 40m 50m. 60m²
c) 42cm, 34cm, 20cm. 336cm²
d) 13cm, 14cm, 15cm. 84cm²
e) 30cm, 24cm, 18cm. 216cm²
f) 36cm, 48cm, 60cm. 864cm²
3) Find :
a) The height on longest side whose sides are 3cm,4cm,5 cm respectively. 2.4cm
b) The height on shortest side whose sides are 3cm,4cm,5cm respectively. 4cm
c) The height on longest side whose sides are 30m,40m,50m respectively. 2.4 m
d) The height on shortest side whose sides are 30m,40m,50 m respectively. 4m
c) The height on longest side whose sides are 42cm, 34cm, 20cm respectively. 16cm
d) The height on shortest side whose sides are 13cm,14cm,15cm. 168/13 cm
e) The height on longest side whose sides are 30cm, 24cm, 18cm. 14.4cm
f) The height on shortest side of the triangle whose sides are 36cm, 48cm, 60cm respectively. 48cm
4) Find the base of the triangle if:
a) Area= 100cm², height= 10cm. 20cm
b) Area= 284cm², height= 71cm. 8cm
c) Area= 336cm², height= 70cm. 9.6cm
5) Find the height of the triangle if:
a) Area= 500cm², base = 25cm. 40cm
b) Area= 10m², base= 10cm. 20cm
c) Area= 576m², base=24m. 24m
d) Area= 555m², base= 20m. 55.5m
EXERCISE--2
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1) Find the two perpendicular sides of a right angle whose hypotenuse is 20cm and the area is 96 cm². 16, 12cm
2) In a right angled triangle ABC, right angled at B, the altitude from B to AC intersects AB at D. If AD= 8cm, and AC =12cm, find BD. 4√2 cm
3) The base of a right angled triangle is 7cm and its area is 84 cm². Find its hypotenuse. 25
4) If the area of an equilateral triangle is 64√3cm². Then find its side. 16cm
5) In a right angled triangle ABC, find the height of the altitude BD drawn from B to the hypotenuse AC, given AB= 9cm and BC= 12cm. 7.2cm
6) ABC is a triangle in which D is the midpoint of the side BC and E is the midpoint of AD. What is the ratio of the areas of∆ BED anf ∆ABC. 1:4
7) In ∆ABC, AD is the perpendicular to BC. If AB= 10, AC= 17. Find the value of AD and CD. 8, 15
8) A ad B leaves a point at the point at the same time. A travels North at 18km/hr and B travels West at a speed of 24 km/hr. Find the distance between A and B after two hours. 60 km
9) If the diagonal of a square is 8cm, then find the side of the square. 4√2.
10) A right angled triangle at B. Side AB= 3 and hypotenuse AC= 5 find the perpendicular BD on side AC. 4
11) The perimeter of a square is equal to the perimeter of an equilateral triangle. Find the ratio of the side of the equilateral triangle to the diagonal of the square.
12) The perimeter of a right angled triangle is 90cm and its area is 270 cm². Find the length of the hypotenuse. 39
13) Find the area of an Isosceles triangle whose equal sides measure 20cm each and base measure 24cm. 192
14) A triangular piece of land is divided between two brothers equally. What is the length of the shortest wall that can be build between their plots, if the length of the sides of the plot are 20m, 21m, 29m. 10√2
15) ∆ PQR is equilateral and PO, QM, RL are the altitudes LR²+ QM²+ PO²= 51√3 cm², find the area of ∆ PQR. 17cm²
16) Two poles of height 6m and 11m stand vertically upright on a plane ground. If the distance between their foot is 12m, find the distance between their tops. 13cm
17) In a right angled triangle, find the hypotenuse if base and perpendicular are respectively 36015 and 48020cm. 69125
18) In a Quadrilateral ABCD, AD= 20, CD= 20, BC= 12 & diagonal AC= 20. Angle B is 90°. Find the area of the Quadrilateral. 269
19) The sides of a triangle are 21, 20 and 13cm. Find the area of the larger triangle into which the given triangle is divided by the perpendicular upon the longest side from the opposite vertex. 96 cm²
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