Question

How to make these !!!!help me !! Urgente

Answer 1

The Pythagorean Theorem is

$a^2+b^2=c^2$

Where a and b are legs and c is the hypotenuse.

If we had the measurements 27, 36, and 45...

$a^2+b^2=c^2 \\ \\ 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025 = 2025$

So it is a right triangle because $a^2+b^2=c^2$

The values of a, b, and c are given.

$a=27 \\ b=36 \\ c=45$

Answer 2

Converse blanks: the sum of the legs squared is equal to the square of the hypotenuse; right.

a = 27, b = 36 (a and b can be switched), c = 45 --> the hypotenuse is always the longest side.

a² + b² = c²

Substitute: 27² + 36² = 45²

Simplify: 729 + 1296 = 2025

Simplify: 2025 = 2025

This is a right triangle because the sum of the lengths of the legs squared is equal to the length of the hypotenuse squared.

(also good note, the sides have a ratio of 3 : 4 : 5, which will always make a right triangle)