SOH CAH TOA Review

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

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

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

Tags

CCSS.8.G.B.8

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Tags

CCSS.8.G.B.7

Acute, right, or obtuse?

• Acute
• Right
• Obtuse
• I don't know

Tags

CCSS.4.G.A.2

Acute, right, or obtuse?

• Acute
• Right
• Obtuse
• I don't know

Tags

CCSS.4.G.A.2

Acute, right, or obtuse?

• Acute
• Right
• Obtuse
• I don't know

Tags

CCSS.4.G.A.2

What is the length of x in this 45-45-90 triangle?

• 4√2
• 4
• 8
• 4√3

Tags

CCSS.8.G.B.8

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

Tags

CCSS.8.G.B.8

Which set of side lengths form a right triangle?

• 3, 4, 7
• 33, 56, 65
• 66, 72, 97
• 10, 15, 25

Tags

CCSS.8.G.B.8

Find x.

• 10
• √3
• 5
• 10√3

Tags

CCSS.HSG.SRT.C.8