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45-45-90 Triangles

45-45-90 Triangles

Assessment

Flashcard

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.G.B.8, HSG.CO.C.10, 6.G.A.1

+3

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Tags

CCSS.HSG.CO.C.10

2.

FLASHCARD QUESTION

Front

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is leg×√2\text{leg} \times \text{√2} .

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

If the leg of a 45-45-90 triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5√25\text{√2} .

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

How do you find the length of each leg if you know the hypotenuse of a 45-45-90 triangle?

Back

Divide the hypotenuse by √2\text{√2} .

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

What is the length of each leg in a 45-45-90 triangle with a hypotenuse of 18?

Back

Each leg is 18√2=9√2\frac{18}{\text{√2}} = 9\text{√2} .

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the formula to calculate the area of a 45-45-90 triangle?

Back

The area is given by 12×leg2\frac{1}{2} \times \text{leg}^2 .

Tags

CCSS.6.G.A.1

7.

FLASHCARD QUESTION

Front

If the area of a 45-45-90 triangle is 50 square feet, what is the length of each leg?

Back

Each leg is √(100)=10\text{√(100)} = 10 feet.

Tags

CCSS.6.G.A.1

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