30-60-90 Right Triangles

Presentation

•

Mathematics

•

8th - 10th Grade

•

Medium

•

CCSS

HSG.SRT.C.8

Standards-aligned

Kelly Downs

Used 82+ times

FREE Resource

6 Slides • 13 Questions

30-60-90 Right Triangles

Evaluating a 30-60-90 triangle

The short leg is always between the 60 and 90. This leg is always the one we use to measure.
The long leg is always
$\sqrt{3}$ times longer than the short leg
The hypotenuse (diagonal) is always twice the short leg

When you know the shortest leg

Multiply the short leg by $\sqrt{3}$ to get the longer leg
Multiply the short leg by 2 to get the hypotenuse

Multiple Choice

Find the value of x.

5√3

5√2

Multiple Choice

Find the value of y.

5√3

5√2

Multiple Choice

Find the value of x.

7√2

7√3

Multiple Choice

Find the value of x.

3√2

3√3

Multiple Choice

Find x.

10√2

5√3

When you know the length of the Hypotenuse

Divide by 2 to get the length of the short leg
To get the length of the longer leg when you know the hypotenuse, it is easiest to find the length of the short leg first then multiply by $\sqrt{3}$

Multiple Choice

Find the value of x.

14√2

14√3

Multiple Choice

Find the value of y.

14√2

14√3

Multiple Choice

Find the value of x.

4√2

4√3

Multiple Choice

Find the value of y.

4√2

4√3

Multiple Choice

Find the value of x.

3√2

3√3

Multiple Choice

Find the value of y.

3√2

3√3

When you know the length of the longer leg

Find the length of the short leg by dividing by $\sqrt{3}$
Once you know the length of the short leg, multiply by 2 to get the hypotenuse.

Multiple Choice

Find x.

√3

2√2

Multiple Choice

Find x.

√3

10√3

30-60-90 Right Triangles

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