Basic Geometry : How to find the area of a right triangle

Example Questions

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Example Question #1 : How To Find The Area Of A Right Triangle Given:

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

7 square centimeters

12 square centimeters

5 square centimeters

6 square centimeters

13 square centimeters

6 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #2 : How To Find The Area Of A Right Triangle Given:

A = 4 cm

B = 6 cm

What is the area of the right triangle ABC?

10 square centimeters

24 square centimeters

8 square centimeters

11 square centimeters

12 square centimeters

12 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #3 : How To Find The Area Of A Right Triangle Given:

A = 3 cm

B = 7 cm

What is the area of the triangle?

10.5 square centimeters

7 square centimeters

10 square centimeters

8.3 square centimeters

7.6 square centimeters

10.5 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #4 : How To Find The Area Of A Right Triangle Given that:

A = 6 cm

B = 10 cm

What is the area of the right trianlge ABC?

90 square centimeters

16 square centimeters

35 square centimeters

60 square centimeters

30 square centimeters

30 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #5 : How To Find The Area Of A Right Triangle Given that:

A = 3 cm

B = 4 cm

C = 5 cm

What is the area of the right triangle ABC?

6 square centimeters

7 square centimeters

6.5 square centimeters

10 square centimeters

12 square centimeters

6 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #6 : How To Find The Area Of A Right Triangle Given that:

A = 10 cm

B = 20 cm

What is the area of the right triangle ABC?

120 square centimeters

50 square centimeters

70 square centimeters

100 square centimeters

30 square centimeters

100 square centimeters

Explanation:

The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives: Example Question #7 : How To Find The Area Of A Right Triangle

The length of the legs of the triangle below (not to scale) are as follows: cm cm What is the area of the triangle? square centimeters square centimeters linear centimeters square centimeters square centimeters square centimeters

Explanation:

The formula for the area of a triangle is where is the base of the triangle and is the height.

For the triangle shown, side is the base and side is the height.

Therefore, the area is equal to or, based on the units given, 42 square centimeters

Example Question #8 : How To Find The Area Of A Right Triangle

An equilateral triangle has a side of What is the area of the triangle?      Explanation:

An equilateral triangle has three congruent sides. The area of a triangle is given by where is the base and is the height.

The equilateral triangle can be broken into two right triangles, where the legs are and and the hypotenuses is .

Using the Pythagorean Theorem we get or and the area is Example Question #9 : How To Find The Area Of A Right Triangle

The hypotenuse of a triangle measures eight inches. What is the area of this triangle (radical form, if applicable)?    It is impossible to tell from the information given. Explanation:

In a , the shorter leg is half as long as the hypotenuse, and the longer leg is times the length of the shorter. Since the hypotenuse is 8, the shorter leg is 4, and the longer leg is , making the area: Example Question #10 : How To Find The Area Of A Right Triangle          