Answer:
Yes
Explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
![a^2+b^2=c^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/fdnnfwrccw5g60jmi691r5gcz9ekxf8waa.png)
Note that
and
are the legs of the triangle and
is the hypotenuse:
Substitute the lengths of the sides into the equation:
![60^2+63^2=87^2](https://img.qammunity.org/2023/formulas/mathematics/college/zstlj6ecchqqjl2pz8rhy5qaxl0r1gmnw0.png)
![3600+3969=7569\\7569=7569](https://img.qammunity.org/2023/formulas/mathematics/college/v4bf9e93aslzvo25l9vhppo4l5qplakcvt.png)
Therefore this triangle is a right triangle.