Question

The triangles are similar.

What is the value of x?


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x =

Answer 1

x = 21

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=√(75^2-72^2)`

`\implies x=21`