Question

Bryn checked the measures of the stairs to make sure they formed a right triangle. The measures of the steps were 5 in., 13 in., and 12 in.

Bryn’s work is shown below:

1. 5 squared + 13 squared = 12 squared. 2. 25 + 169 = 144. 3. 194 not-equals 144. Conclusion: Not a right triangle.
Did Bryn come to the correct conclusion? If not explain her error.

No. In step 1 she did not apply the Pythagorean theorem correctly.
No. In step 2 she did not square each term correctly
No. She should have used the outcome from step 3 to conclude that the triangle is a right triangle.
Yes, Bryn came to the correct conclusion.
a. ansewr

Answer 1

Step-by-step explanation:

a b c are sides oc trinagle

Pythagorean theorem - b^2= a^2+c^2

12^+5^2=144+25=169

c= 13