Question

(100 points;)The area of a right triangle is 39.6 in², and the base of the triangle is 12 inches.
Which of the following values is the height of the triangle?
303 in.
1.65 in.
6.6 in.
6.1 in.

Answer 1

The answer is 6.6 inches

AREA OF TRIANGLE = 1/2 X BASE X HEIGHT

=> 39.6=12XH/2

=> 39.6X2=12XH

=> 79.2 = 12XH

=> 79.2/12= H

=> 6.6

Answer 2

Solution:

Given:

• Area of right triangle = 39.6 in²
• Base of triangle = 12 in

Area of triangle formula: 1/2 x Base x Altitude

Substitute the area and the base:

• 1/2 x Base x Altitude = Area of right triangle
• 1/2 x 12 x Altitude = 39.6 in²

Simplify the LHS:

• 1/2 x 12 x Altitude = 39.6 in²
• 6 x Altitude = 39.6 in²

Divide 6 both sides:

• (6 x Altitude)/6 = 39.6/6
• Altitude = 6.6 in.