30-60-90 Triangle and Circle Concepts

30-60-90 Triangle and Circle Concepts

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Hard

CCSS
HSG.SRT.C.8, 7.G.B.4, HSG.CO.C.10

+2

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSG.SRT.C.8
,
CCSS.7.G.B.4
,
CCSS.HSG.CO.C.10
CCSS.HSG.SRT.D.10
,
CCSS.HSG.SRT.D.11
,
This video tutorial covers the properties and calculations related to the 30-60-90 right triangle. It explains the side ratios and how to find missing sides using multiplication and division. Several examples are provided to illustrate these concepts, including a typical SAT math question involving a circle and a triangle. The video emphasizes understanding the relationships between the angles and sides to solve problems efficiently.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the side opposite the 30-degree angle in a 30-60-90 triangle if the hypotenuse is 10?

5

10

2

5√3

Tags

CCSS.HSG.SRT.C.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you know the side opposite the 30-degree angle is 6, what is the length of the hypotenuse?

12

3

6

6√3

Tags

CCSS.HSG.CO.C.10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, if the side opposite the 60-degree angle is 5√3, what is the length of the side opposite the 30-degree angle?

5√3

10

15

5

Tags

CCSS.HSG.SRT.C.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given a side of 12√3 opposite the 60-degree angle, what is the length of the hypotenuse?

36

12

24

24√3

Tags

CCSS.HSG.SRT.C.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the hypotenuse is 16√3, what is the length of the side opposite the 30-degree angle?

16√3

16

8√3

8

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the side opposite the 60-degree angle if the side opposite the 30-degree angle is 7?

7√3

7

14

21

Tags

CCSS.HSG.CO.C.10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, if the side opposite the 60-degree angle is 9, what is the length of the hypotenuse?

12

6√3

18

9√3

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