Question

Luana was told that the legs of the triangle below measure 12 in and 35 in. She tells her classmate, Andres, that the hypotenuse must therefore be 37 inches. Andres has missed a week of class, and doesn't understand how Luana can determine the length of the hypotenuse with the information given.

PART A
Explain to Andres how Luana knows that the hypotenuse is 37 inches long. Be sure to be specific in your explanation, using mathematical concepts to explain your reasoning.
Enter your response here
PART B
After the explanation, Andres tries to solve the problem on his own. He thinks that the hypotenuse should instead be 1,369 in. What was his error?

whoever answers this ill give you 50 points

Answer 1

Part A:

The problem doesn't say if it's a right triangle, but it seems like it is.

for right angle triangles, the Pythagorean theorem applies:

a^2 + b^2 = c^2, where a & b are the legs of the triangle, and c is the hypotenuse.

12^2 + 35^2 = 144 + 1225 = 1369, and the square root of 1369 = 37.

Part B:

Andres thought the equation was a^2 + b^2 = c, or he forgot to find the square root of 1369.

Answer 2

Is this math or what