Question

Determine Whether The Sides Make A Right Triangle

24,18,30

Right Triangle Or Not?

Answer 1

Yes

Explanation:

Since we want to test if it is a right triangle, we can use the Pythagorean Theorem

a^2+b^2=c^2

where a and b are the legs (shortest sides) and c is the hypotenuse (longest side)

We have the sides: 24,18 and 30

24 and 18 are the shortest, therefore they are the legs. 30 is the longest, so it is the hypotenuse.

So, a is 24, b is 18 and c is 30

24^2+18^2=30^2

Evaluate the exponents

576+324=900

Add 576 and 324

900=900

This statement is true, so this is a right triangle