Question

find the lengths of the base and height of a triangle whose area is 360m2 and the ratio of the base and height is 4:5

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Answer 1

Answer:

The ratio of base and height = 4 : 5

so let's take base = 4x

height = 5x

Area of a triangle = 360 m2

1/2 × b × h = 360 m2

1/ 2 × 4x × 5x = 360 m2

2x × 5x = 360 m2

10 x2 = 360 m2

x2 = 36 m2

x = √36m2

x = 6m

so, base = 4x = 4 × 6m = 24 m

height = 5x = 5 × 6m = 30m

check :

if base = 24m and height = 30m

then area of a triangle = 1/2bh

= 1/2 × 24m × 30m

= 12m × 30m = 360m2