Math, asked by Anonymous, 4 months ago

If the area of a right triangle is 70 cm² and one of the sides containing the right angle is 14 cm. Find the length of other leg.​

Answers

Answered by Anonymous
9

\huge\underbrace\mathrm\pink{Answer}

area of right angle triangle=(b×h)/2

70cm^2= (14×h)/2

140=14×h

h=140/14=10cm

Answered by Anonymous
1

Given :

  • Area of triangle = 70 cm²
  • Length of 1st side = 14 cm

To Find :

  • Length of 2nd side = ?

Solution :

Let, another side = x

We know that,

 \underline{\boxed{\bf{ Area \: of \: triangle = \dfrac{1}{2} \times base \times height }}}

 \underline{\boxed{\bf{ Area \: of \: triangle = \dfrac{1}{2} \times b \times h}}}

We have :

  • Base = x
  • Height = 14 cm
  • Area of triangle = 70 cm²

On substituting the values :

 \sf : \implies 70 \: cm^{2} = \sf\dfrac{1}{2} \times 14 \: cm \times x

 \sf : \implies 70 \: cm^{2} = \sf\dfrac{1}{\cancel{2}} \times \cancel{14}_{7} \: cm \times x

 \sf : \implies 70 \: cm^{2} = 7 \: cm \times x

 \sf : \implies \dfrac{\cancel{70}^{10} \: cm^{2}}{\cancel{7} \: cm} = x

 \sf : \implies 10 \: cm = x

 \underline{\boxed{\bf{x = 10 \: cm}}}

Hence, Length of 2nd side of triangle is 10 cm.

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