Question

Base of a triangle is 9 and height is 5 , Base of another triangle is 15 and height is 6. Find the ratio of areas of these triangles​

Answer 1

Answer:

22.5 /45 = 22.5 x 10 / 45 x 10 = 225 / 450 = 45/90 = 1/2

So the ratio is 1:2

Answer 2

$\huge\underline\bold\red{Answer:-}$

$\large\underline\bold\blue{Given:-}$

In ∆ABC

Base  and height = 9 and 5

In ∆PQR

Base  and height = 15 and 6

$\large\underline\bold\green{To\:prove:-}$

The Ratio of areas of these triangles.

$\large\underline\bold\orange{Formula\:to\:be\:used}$

$\implies$ Area of triangle, A = 1/2 × b × h

$\large\underline\bold\pink{solution:-}$

Let the triangles be ∆ABC and ∆PQR.

Area of triangle, A = 1/2 × l × b

$\dashrightarrow$ Area of ∆ABC/Area of ∆PQR.

$\dashrightarrow$ 1/2 × b × h/1/2 × b × h

$\dashrightarrow$(1/2 × 5 × 9)/(1/2 × 15 × 6)

$\dashrightarrow$ 1/2

Hence, the ratio of Area of ∆ABC : Area of ∆PQR IS 1 : 2.