Math, asked by chandu749, 3 months ago

find area of triangle base=8cm height=_cm Area=10sq cm
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Answers

Answered by MostlyMad
108

\large\mathfrak{{\pmb{{\underline{Question}}:}}}

  • Find the height of the triangle whose area is 10\sf{cm^{2}} and base is 8cm

\large\mathfrak{{\pmb{{\underline{Answer}}:}}}

\sf{{\pmb{{\underline{Given}}:}}}

  • Area = 10\sf{{\pmb{cm^{2}}}}
  • Base = 8cm

\sf{{\pmb{{\underline{To~find}}:}}}

  • The height of the triangle

\sf{{\pmb{{\underline{Solution}}:}}}

 \sf Area \: of \: a \: triangle =  \frac{1}{2}  \times base \times height \\  \sf  \implies 10 {cm}^{2}  =  \frac{1}{2}  \times 8cm \times h  \: \\  \sf  \implies  \frac{1}{ \cancel{ \: 2 \: } \:  \:^{1} }  \times  \cancel{8} \:  \: ^{4}  \times h = 10 \:  \:  \: \:   \\  \sf  \implies    4\times h = 10  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \sf  \implies h =  \frac{ \cancel{10} \:  \: ^{5} }{ \cancel{ \: 4 \: } \:  \:  ^{2} }   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \sf  \implies h = 2.5  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \sf  \therefore \blue{ \underline{ \boxed{ \sf{ \pmb{h = 2.5cm}}}}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

\therefore\sf{{\pmb{{\underline{Required~answer}}:}}}

  • Height, h = 2.5cm

\sf{{\pmb{{\underline{Note}}:}}}

  • Refer the attachment for figure
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Answered by kanvi14
3

Please refer this image...

Hope it helps you!!

Jai Radhe-Krishn

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