Converse of Right Triangle

Which statement is the MOST accurate about the converse of the Pythagorean Theorem?

• The converse is used to determine an unknown side length.

• The converse is only useful with right triangles

• The converse is used to determine if a triangle is or is not a right triangle

• The converse always works out that a²+b²=c²

Answer explanation

The Converse of the Pythagorean Theorem states:

IF
$a^2+b^2=c^2$
(where c is the longest side length)

THEN

The triangle is a right triangle.

Find h

• 35.60

• 35.00

• 35.71

• 61.03

Would these side lengths form a right triangle?

• Yes

• No

Find the measure of h.

• 13

• 20

• 9.7

• 10

Using the converse of the Pythagorean theorem, determine if the following triangle is a right triangle: sides are 21 cm, 28 cm, and 35 cm.

• Yes

• No

A triangle has sides of lengths 9, 40, and 41. Using the converse of the Pythagorean theorem, determine if it is a right triangle.

• Yes

• No

A triangle has sides of 6 cm, 8 cm, and 10 cm. Using the converse of the Pythagorean theorem, is this triangle a right triangle?

• Yes

• No

Use the converse of the Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

• Acute

• Right

• Obtuse