Pythagorean Theorem Unknown Hypotenuse

What is the formula for Pythagorean theorem?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

What is the longest side of a right triangle called?

• Leg A

• Leg B

• Hypotenuse

• Pythagoras' Big Buddy

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

• yes

• no

Answer explanation

$6^2+8^2=10^2\ ?$
$36+64=100\ ?$
$100\ =\ 100$
This is true, so the side lengths do form a right triangle.

Can side lengths 3, 4, and 5 form a right triangle?

• yes

• no

Answer explanation

$3^2+4^2=5^2\ ?$
$9+16=25\ ?$
$25\ =\ 25$
This is true, so the side lengths do form a right triangle.

Define a Pythagorean Triple

• When all three sides of a right triangle are whole numbers

• Three sides are equal lengths

• Two sides are equal in length

• When you add every number together to find the missing length

Answer explanation

A Pythagorean Triple:
When all three sides of a right triangle are whole numbers

Example: 3, 4, 5

$3^2+4^2=5^2$
$9+16=25$
$25\ =\ 25$

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

If one leg of a right triangle is 12 and the other leg is 16.  What is the length of the hypotenuse of this right triangle?

• 20

• 10.6