How to find the area of a right triangle

Practice Questions

SAT Math › How to find the area of a right triangle

Questions
9
1

The vertices of a right triangle on the coordinate axes are at the origin, , and . Give the area of the triangle.

2

If the hypotenuse of a triangle is 5 meters, which of the following is the closest value to the area of the triangle?

3

A right triangle has a total perimeter of 12, and the length of its hypotenuse is 5. What is the area of this triangle?

4

Figure not drawn to scale.

In the figure above, rays PA and PB are tangent to circle O at points A and B, respectively. If the diameter of circle O is 16 units and the length of line segment PO is 17 units, what is the area, in square units, of the quadrilateral PAOB?

5

The perimeter of a right triangle is 40 units. If the lengths of the sides are , , and units, then what is the area of the triangle?

6

The length of one leg of an equilateral triangle is 6. What is the area of the triangle?

7

The ratio for the side lengths of a right triangle is 3:4:5. If the perimeter is 48, what is the area of the triangle?

8

Triangle ABC is drawn between the points A(4, 3), B(4, 8), and C(7, 3). What is the area of ABC?

9

Right triangle

Figure NOT drawn to scale.

is a right triangle with altitude . What percent of is shaded in?

Choose the closest answer.

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