Answer:
C
Step-by-step explanation:
You know the triangle is right if the squares of the two smaller side lengths add up to the square of the largest side length, thanks to the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] , where a and b are the legs and c is the hypotenuse.
Let's put this to the test for each answer choice:
A) [tex]14^2+20^2=? 25^2[/tex] --> 196 + 400 =? 625 --> 596 is NOT equal to 625, so wrong
B) [tex]3^2+5^2=?6^2[/tex] --> 9 + 25 =? 36 --> 34 is NOT equal to 36, so wrong
C) [tex]6^2+8^2=?10^2[/tex] --> 36 + 64 =? 100 --> 100 DOES equal 100, so correct
D) [tex]7^2+8^2=?10^2[/tex] --> 49 + 64 =? 100 --> 113 is NOT equal to 100, so wrong
Thus, the answer is C.
Hope this helps!
