Question

What is the measure of m?n20m5m = [?]✓=Give your answer in simplest form.Enter

Answer 1

`m=5\text{ }\sqrt[]{5}`

STEP - BY - STEP EXPLANATION

What to find?

The value of m.

To find the value of m, we take the proportion of the sides of the triangles.

That is;

adjacent of the bigger triangle/hypotenuse of the bigger triangle = adjacent of the smaller triangle / hypotenuse of the smaller triangle.

That is;

`(m)/(20+5)=(5)/(m)`
`(m)/(25)=(5)/(m)`

Cross-multiply

`m^2=25*5`

Take the square root of both-side of the equation.

`m=\sqrt[]{25*5}`
`m=5\sqrt[]{5}`