Question

Find the area of the triangle. #2

Answer 1

`150\ in^2`

Explanation:

Given triangle is right triangle. Use the Pythagorean theorem to find the second leg:

`25^2=15^2+x^2,\\ \\625=225+x^2,\\ \\x^2=625-225,\\ \\x^2=400,\\ \\x=20\ in.`

Then use formula for the right triangle's area

`A=(1)/(2)\cdot \text{leg}_1\cdot \text{leg}_2.`

Thus,

`A=(1)/(2)\cdot 15\cdot 20=150\ in^2.`