Question

A triangle has an area of 78 square inches. Its base is measured to be 13 inches. What is the height of this triangle in inches?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{12 \: inches}}}}}$

Step-by-step explanation:

Given,

Area of a triangle = 78 square inches

Base of a triangle = 13 inches

Height of a triangle = ?

Finding the height of a triangle

$\boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} \times \: base \: \times \: height}}$

$\dashrightarrow{ \sf{78 = \frac{1}{2} \times 13 \times h}}$

$\dashrightarrow{ \sf{78 = 6.5 \: h \: }}$

$\dashrightarrow{ \sf{6.5 \: h = 78}}$

$\dashrightarrow{ \sf{ \frac{6.5h}{6.5} = \frac{78}{6.5}}}$

$\dashrightarrow{ \sf{h = 12 \: inches}}$

Hope I helped!

Best regards! :D