Question

Geometry! Please help!

What is the value of c?



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Answer 1

Hello!

To solve this we will use the Pythagorean Theorem, which is a²+b²=c²., where a and b are the legs and c is the hypotenuse. As we already know the lengths of the legs we will plug the length into the theorem below.

24²+10²=c²
576+100=676

Now we need to find the square root to get c by itself.

√676=26

Therefore, 26 is the length of c.

I hope this helps!

Answer 2

Since this is a right triangle, use the Pythagorean Theorem to find c.
Pythagorean Theorem ⇒ a² + b² = c², where a and b are the legs and c is the hypotenuse.

Plug in 10 and 24 for the legs and c for the hypotenuse.
10² + 24² = c²
100 + 576 = 676
√676 = 26

c = 26