Question

What is the length in feet of the base of the triangle? (Please explain step by step. Thank you! )

Answer 1

base: 2/3 ft (Answer C)

Explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 2/5 ft^2 = (1/2)(b)(6/5 ft)

We must solve this for b. Start by multiplying all terms by 10 to eliminate the fractions:

10(2/5 ft^2) = (6 ft)(b), or

4 ft^2 = (6 ft)b, or

4 ft^2

b = ---------------- = 2/3 ft (Answer C)

6 ft