Question

A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle. Show your reasoning

Answer 1

Answer:

=3.33

explanation:

Using the formula

A=hbb/2

Solving forhb

hb=2 A/b=2·5/3≈3.33333

Answer 2

The height of the triangle with base 3 2/5 inches and area of 5 1/10 inches is 3 inches.

The area of a triangle is described below:

• area = 1 / 2 bh

where

b = base

h = height

Therefore,

base = 3 2/5 = 17 / 5 inches

area = 5 1 / 10 = 51 / 10 inches

51 / 10 = 1 / 2 × 17 / 5 × h

51 / 10 = 17 / 10 h

cross multiply

510 = 170h

h = 510 / 170

h = 51 / 17

height = 3 inches

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