Question

The three sides of a triangle measure 8, 10, and 12 units. Is this a right triangle? Prove whether it is or not using the converse of the Pythagorean theorem.

Answer 1

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle.

Step-by-step explanation:The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12 12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

Answer 2

Answer: i cant tell you the answer but i can give you an explanation

Step-by-step explanation: triangle is equal to the sum of the squares on the other two sides.

The

Converse

of this statement is 'if the square on the longest side of a triangle equals the sum of the squares on the other two sides then the triangle is right'.

Here the longest side = 10

⇒

10

2

=

100

and

6

2

+

8

2

=

36

+

64

=

100

This satisfies the converse condition hence the triangle is right.