Question

The triangles are similar.

Answer 1

Answer:

x = 21

Step-by-step explanation:

Using ratios:

75 : 25 = x : 7

75/25 = x/7

3 = x/7

21 = x

Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:

$72^2+x^2=75^2$

$\implies x^2=75^2-72^2$

$\implies x=\sqrt{75^2-72^2}$

$\implies x=21$