Question

If area of a triangle is 150cm and ratio of base:height is 3:4, find its height and base

Answer 1

Answer:

15cm and 20cm

Step-by-step explanation:

Area of triangle is bh/2

b×h ÷ 2 = 150

Let the ratio be 3x and 4x respectively

3x × 4x ÷ 2 = 150

12x²/2= 150

6x²= 150

x²= 150/6

x²= 25

x =√25

x=5

Sides are:-

3x=3×5=15

4x=4×5=20

Therefore,

Base of a triangle is 15cm and its height is 20cm

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Answer 2

let the base be 3x and height be 4x then 150=1/2*3x*4x

150=6x

x=150/6=25 then,3x =3*25=75and 4x=4*25=100