Question

The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle

Answer 1

Let the base be x cm,
Therefore height= 8x cm

Area of triangle = 8x(x) / 2 = 784 cm2
8x^2 = 1568
x = 14

Base = 14 cm
Height = 14x8 = 112 cm

Answer 2

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

$\frac{1}{2}$ × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = $\sqrt{196}$ = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm