Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12 \: inches}}}}}[/tex]
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
[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} \times \: base \: \times \: height}}[/tex]
[tex] \dashrightarrow{ \sf{78 = \frac{1}{2} \times 13 \times h}}[/tex]
[tex] \dashrightarrow{ \sf{78 = 6.5 \: h \: }}[/tex]
[tex] \dashrightarrow{ \sf{6.5 \: h = 78}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{6.5h}{6.5} = \frac{78}{6.5}}} [/tex]
[tex] \dashrightarrow{ \sf{h = 12 \: inches}}[/tex]
Hope I helped!
Best regards! :D
