Pythagorean Theorem and Volume

Why do we use the Pythagorean Theorem?

• To find the missing side of a right triangle
• To find the area of a triangle
• To find the volume of a cone
• To find the circumference of a circle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

What is the formula used for the Pythagorean Theorem?

• a + b = c
• a² + b² = c²
• a₂ + b₂ = c₂
• a x b = c

Tags

CCSS.8.G.B.8

What is the hypotenuse (c)?

• the two sides that make up the right angle
• the longest side, across from the right angle
• the shortest side
• the straight side of the triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 30 cm²
• 15 cm²
• 315 cm²
• 45 cm²

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²
• 105 cm²
• 135 cm²
• 30 cm²

Tags

CCSS.8.G.B.7

If a triangle has sides that measure 3 cm, 4 cm and 5 cm - is it a RIGHT triangle?

• Yes, right triangle
• No, not a right triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

If a triangle has sides that measure 4 in, 5 in and 6 in - is it a RIGHT triangle?

• Yes, right triangle
• No, not a right triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 13
• 17
• 7

Tags

CCSS.8.G.B.7

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 12.12
• 21.2
• 7.3

Tags

CCSS.HSG.SRT.C.8

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 23
• 17
• 7

Tags

CCSS.HSG.SRT.C.8