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irina [24]
3 years ago
5

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?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

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 = ?

<u>Finding</u><u> </u><u>the</u><u> </u><u>height</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u>

\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

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