Identify If Lengths Represent a Right Triangle Using Pythagorean Theorem

Does the set of numbers represent a right-angled triangle?

• Yes

• No

Which set of sides would make a right-angled triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

State the relationship between the sides of the right-angled triangle in the diagram shown.

• 6 + 8 = AC

• 6² + AC² = 8²

• 6² + 8² = AC²

• 8² + AC² = 6²

A right triangle has legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse?

• 15 cm

• 22 cm

• 25 cm

• 14 cm

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

Three side lengths of a triangle are shown.

 

         6, 8, and 10

 

Complete the statement about the triangle formed.

A triangle formed with side lengths 6, 8, and 10 ​ (a)   a right triangle ​ (b)  

• is

• is not

• whose hypotenuse is 10

• whose hypotenuse is 6

• whose hypotenuse is 8

• so it does not have a hypotenuse

• A

• B

• C

• D

Is the triangle a right triangle? Explain.