How to find the length of the side of a 45/45/90 right isosceles triangle

Practice Questions

Basic Geometry › How to find the length of the side of a 45/45/90 right isosceles triangle

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1

Angle in the triangle shown below is 45 degrees. Side has a length of 10. What is the length of side ?

Right_triangle_sides_and_points

2

The following image is not to scale.

Find the length of one of the legs of the right triangle.

Find_the_leg_length

3

The perimeter of a 45-45-90 triangle is 100 inches. To the nearest tenth of an inch, what is the length of each leg?

4

In the figure, a right isosceles triangle is placed in a rectangle. What is the area of the shaded region?

10

5

Img051

6

In the figure, a right isosceles triangle is placed in a rectangle. What is the area of the shaded region?

2

7

If the hypotenuse of a right isosceles triangle is , what is the length of a side of the triangle?

8

In the figure, a right isosceles triangle is placed in a rectangle. What is the area of the shaded region?

11

9

If the hypotenuse of a right isosceles triangle is , what is the length of a side of this triangle?

10

If the hypotenuse of a right isosceles triangle is , what is the length of a side of the triangle?

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