Special Right Triangles Review

Presentation

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.SRT.C.8, 8.G.B.7, HSG.SRT.D.10

Standards-aligned

Stephanie Parker

Used 246+ times

FREE Resource

7 Slides • 12 Questions

Special Right Triangles

Review

Deriving the Ratios of the Sides

30-60-90 Triangles

30-60-90 Triangle

Side length are always in these proportions
We will use this when we are deriving the Unit Circle

Using the ratios to solve triangles

Determine what you are given: short leg, long leg, or hypotenuse
Then use the given side and its ratio to find the variable
Make sure you rationalize the denominator

Multiple Choice

a=√6 b=√2

a=4 b=2

a=√6 b=2

a=2 b4

Multiple Choice

What are x and y in this 30-60-90 triangle?

x = 6 y = 3√3

x = 1.5√3 y =1.5

x = 3√3 y = 6

x = √3 y = 2√3

Multiple Choice

What is the measure of side c?

6√2

6√3

Multiple Choice

Find x.

10√3

√3

Multiple Choice

Find x.

√3

2√2

Multiple Choice

Find x.

√3

10√3

Deriving the Ratios of the Sides

45-45-90 Triangles

45-45-90 Triangle

Side length are always in these proportions
Congruent angles have congruent sides across from them
We will use this when deriving the Unit Circle.

Using the ratios to solve triangles

Determine what you are given: short leg, long leg, or hypotenuse
Then use the given side and its ratio to find the variable
Make sure you rationalize the denominator

Multiple Choice

Determine the value of c.

c = 6√3

c = 12√3

c = 18

c = 18√2

Multiple Choice

Determine the value of x.

x = 10√2

x = 10

x = 5√3

x = 5√6

Multiple Choice

Use the 45-45-90 theorem to solve for the hypotenuse.

8√2

√16

Multiple Choice

Find x - the length of the hypotenuse of the triangle.

5√2

5√3

Multiple Choice

What is the measure of side c?

$\frac{7}{\sqrt{2}}$

7√2

Multiple Choice

Find x.

√2

√3

Special Right Triangles

Review

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