Question

The ratio of corresponding sides of the of similar triangles is 2:3 of the area of the smaller triangle is 100cm² find the area of the larger triangle = ​ ​

Answer 1

Answer:

150

Step-by-step explanation:

height-100

therefore area - 1/2x100x3

=150 cm square

Answer 2

let the area of the larger triangle be x,

$(\frac{2}{3})^2 = \frac{100}{x}$

so,

$\frac{4}{9} = \frac{100}{x}$

now we cross multiply,

4(x) = 100(9)

4x = 900

x = $\frac{900}{4}$

x = 225

answer: the area of the larger triangle is 225$cm^2$