Three Sides Form a Triangle

Find the measure of the missing angle.

• 47

• 57

• 53

• 133

Tags

CCSS.8.G.A.5

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°

• 90°

• 180°

• 360°

Tags

CCSS.8.G.A.5

What is the formula for Pythagorean theorem?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

What is the longest side of a right triangle called?

• Leg A

• Leg B

• Hypotenuse

• Pythagoras' Big Buddy

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.

Tags

CCSS.8.G.B.8

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13

• No, because 100+121 does not equal 169

• Yes, because there is a small side, medium side and long side

• Yes, because a triangle has 3 sides

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

Tags

CCSS.8.G.B.8

The Pythagorean Theorem is _________

• a + b = c

• a² + b² = c²

• a² + b² + c²

• A = LW

Tags

CCSS.8.G.B.8