Find the missing sides of a triangle given a 30 60 90 triangle

Find the missing sides of a triangle given a 30 60 90 triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the properties and relationships of 30-60-90 triangles compared to 45-45-90 triangles. It covers how to calculate the hypotenuse from the short leg by multiplying by two, and how to find the short leg from the hypotenuse by dividing by two. The tutorial also details the process of finding the long leg from the short leg by multiplying by the square root of three. Additionally, it explains the multiplication of square roots in the context of these triangle calculations.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the short leg and the hypotenuse in a 30-60-90 triangle?

The hypotenuse is three times the short leg.

The hypotenuse is equal to the short leg.

The hypotenuse is twice the short leg.

The hypotenuse is half the short leg.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the long leg of a 30-60-90 triangle if you know the short leg?

Multiply the short leg by 2.

Multiply the short leg by 3.

Multiply the short leg by the square root of 3.

Divide the short leg by the square root of 3.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the short leg of a 30-60-90 triangle is 2, what is the length of the long leg?

2

6

2√3

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the square root of 3 by itself?

3

1

√3

9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 30-60-90 triangle, if the long leg is 6, what is the short leg?

6

4

3

2