Pythagorean Theorem Practice

Multiple Choice

Is Triangle ABC with AC = 6, BC = 9, and AB = 12 a right triangle?

• Yes, because q0

• Yes, because $$6^2+12^2=9^2$$

• No, because $$6^2+9^2\ne12^2$$

• No, because $$6^2+12^2\ne9^2$$

Multiple Choice

Is Triangle DEF with DE = 8, EF = 10, and FD = 12 a right triangle?

• Yes, because $$10^2+12^2=8^2$$

• Yes, because $$8^2+10^2=12^2$$

• No, because $$10^2+12^2\ne8^2$$

• No, because $$8^2+10^2\ne12^2$$

Multiple Choice

Is Triangle GHI with GI = 9, HI = 12, and GH = 15 a right triangle?

• Yes, because $$9^2+12^2=15^2$$

• Yes, because $$9^2+12^2\ne15^2$$

• No, because $$9^2+12^2=15^2$$

• No, because $$9^2+12^2\ne15^2$$

Fill in the Blanks

In Right Triangle ABC, Angle C is the right angle, AB = 13 and BC = 5. What is length of AC? (Just type the number)

Multiple Choice

Is Triangle LMN with LN = 25, LM = 7, and MN = 24 a right triangle?

• Yes

• No

Multiple Choice

Is Triangle XYZ with XY = 1, XZ = 2, and YZ = 1 a right triangle?

• Yes

• No

Multiple Choice

Find the value of the missing side

• 9

• 6.7

• 3

• 45

Multiple Choice

Find the value of the missing side

• 7.1

• 15.21

• 11.7

• 10.3

Multiple Choice

In right triangle ABC, CD is the altitude drawn to it's hypotenuse. Find two triangles that must be similar to Triangle ABC.

• Triangle DAC

  and

  Triangle DBC

• Triangle ACD

  and

  Triangle CBD

• Triangle ACB

  and

  Triangle CAB

• Triangle CAD

  and

  Triangle BCD