Question

I need this quickly please! solve for x. show your work

Answer 1

The large right triangle and the smaller right triangle on the left are similar triangles. For a better understanding, see image attached.

Make a comparison.
The proportion of corresponding sides in similar triangles are the same.

`\cfrac{\text{hypotenuse}}{\text{horizontal}} = \cfrac{\text{hypotenuse}}{\text{horizontal}}`

Input the numbers

`\cfrac{x}{9}= \cfrac{25}{x}`
Do cross multiplication
x² = 25 × 9
x² = 225
x = √225
x = 15

The value of x is 15