Question

If the área of a right is 6.22sq. In. And its base is 3.11 in. Write an equation that relates the área to the height, h, and the base. Solve the equation to determine the height.

Answer 1

In the given question one word is missing, the correct question is,

If the área of a right triangle is 6.22sq. In. And its base is 3.11 in. Write an equation that relates the área to the height, h, and the base. Solve the equation to determine the height.

The equation that relates the area(A) to the height (h) and the base(b) is
`Area = (1)/(2) bh`. Height of right trinagle is 4 inches.

Explanation:

The given is,

Area of right triangle, A = 6.22 square inches

Its base is 3.11 inches

Step:1

Formula for area of right angle triangle is,

`A = (1)/(2) bh`......................................(1)

Where, b - Base

h - Height

Equation (1), that relates the área (A) to the height (h) and the base (b).

Step: 2

From the given values,

Base, b = 3.11 inches

Area, A = 6.22 square inches

Equation (1) becomes,

6.22 =
`(1)/(2) (3.11)(h)`

(6.22) (2) = (3.11) (h)

12.44 = (3.11) (h)

`h = (12.44)/(3.11)`

= 4

Height, h = 4 inches

Result:

The equation that relates the area(A) to the height (h) and the base(b) is
`Area = (1)/(2) bh`. Height of right trinagle is 4 inches.