Question

If the area of a right triangle is 6.22 square inches and its base is 3.11 inches, write an equation that relates the area to the height, h, and the base. Solve the equation to determine the height.

Answer 1

Answer: (a) 12.44 - 3.11h = 0

(b) 4in²

Explanation:

Area of a triangle = (1/2)bh, where b is the base and h is the height.

Now from the question, Area = 6.22in² and the base is 3.11inches.

Therefore, the equation that relates the area to the height and the base wiil be

Area = (3.11)h/2

6.22 x 2 = 3.11 x h

12.44 = 3.11h

12.44 - 3.11h = 0

(b) to find the value of h from the equation, make h the subject of the formula by solving for h

12.44 = 3.11h

h = 12.44/3.11

= 4in²