45-45-90 Triangles

Practice Questions

Trigonometry › 45-45-90 Triangles

Questions
9
1

Find the value of in the triangle below.

16

2

A triangle has three angles , , such that and together are as much as . What is the ratio of the longest side to the shortest?

3

The following figure was made by beginning with a square. The midpoints of the four sides of the square were then joined to form another square. The process was repeated to form a third square and finally once more to form the fourth and smallest square in the middle, which has a side length of . Find the value of .

18

4

Find the value of

20

5

In a triangle, if one leg is . What is the measure of the hypotenuse?

6

In a 45-45-90 triangle, if the hypotenuse is 10, what is the perimeter of the triangle?

7

One side of a -- triangle has a length of 3. Which cannot be the length of one of the other sides?

8

The hypotenuse of a -- triangle is 4. What is the length of each of the legs?

9

The perimeter of a square is 56 feet. What is the length of the diagonal in feet?

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