Question

#2 A triangle has a height three times its base. The area of a triangle is 73.5

square centimeters. What is the possible value of x for this real world

shape? (enter only a numerical answer. Do not put x=)

Answer 1

Answer: See explanation

Explanation:

Let the base be represented by x.

Therefore, the height will be = 3 × x = 3x

Since Area of a triangle = 1/2 × base × height

1/2 × x × 3x = 73.5

3x²/2 = 73.5

3x² = 73.5 × 2

3x² = 147

x² = 147/3

x² = 49

x = ✓49

x = 7

Base = 7cm

Height = 3 × 7 = 21cm