Math, asked by dhk27, 4 months ago

If the area of the triangle is 126 sq.m and base is 56m, find its height.
class 7th question
lesson no 12 Perimeter and area
who gave a right answer, I can mark his/ her brainliest mark
who gave a wrong answer I can report his all answer....​

Answers

Answered by Anonymous
36

Given :-

  • Area of the triangle = 126 cm²
  • Base of the triangle = 56 m

To Find :-

  • Height of the triangle.

Solution :-

Area of the triangle :-

\green{:\implies\:\:\:}\sf{Area =  \dfrac{1}{2} \times base \times height  }

\green{:\implies\:\:\:}\sf{126 =  \dfrac{1}{2} \times 56 \times h }

\green{:\implies\:\:\:}\sf{126 =  28 \times h }

\green{:\implies\:\:\:}\sf{h= \dfrac{126}{28} }

\green{:\implies \:\:\:}\underline{\boxed{\pink{\mathfrak{h = 4.5\:m}}}}

∴ Height of the triangle = 4.5 m

To check ↓

Area of the triangle :-

\blue{:\implies\:\:\:}\sf{Area =  \dfrac{1}{2} \times b \times h }

\blue{:\implies\:\:\:}\sf{Area =  \dfrac{1}{2} \times 56 \times 4.5 }

\blue{:\implies\:\:\:}\sf{Area = 28 \times 4.5 }

\blue{:\implies\:\:\: }\underline{\boxed{\purple{\mathfrak{Area = 126 \:cm^2}}}}

Hence Verified! :D

Answered by Anonymous
61

{\large{\underbrace{\underline{\bf{Question:-}}}}}  \\

If the area of the triangle is 126 m² and base is 56m, find its height.

{\large{\underbrace{\underline{\bf{Answer:-}}}}}  \\

Given:-

  • Area of triangle = 126 m²
  • Base of triangle = 56 m

To find:-

  • Height of the triangle

We know that,

Area of triangle = \frac{1}{2} × b × h

126 = \frac{1}{2} × 56 × h

126 × 2 = 56 × h

252 = 56 × h

h = \frac{252}{56}

∴ h = 4.5 m

Hope this helps! ♡

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