Math, asked by chinnilahari, 1 month ago

find tge attitude of a triangle whose base is 20 cm and area is 150cm square​

Answers

Answered by avinashxkumarz123
0

Answer:

Altitude = 15 cm

Step-by-step explanation:

Area = 1/2 base × height

150 = 1/2 × 20 × h

h = 15 cm

Answered by Anonymous
138

Given :

  • Triangle base is 20 cm
  • Area of triangle is 150 cm

To Find :

  • Altitude of triangle ?

Formula used :

\sf{:\implies Area_{(triangle)} =  \frac{1}{2} \times b \times h}

Here,

⠀⠀⠀⠀B is the Base of triangle, H is the Height of triangle and A is the Area of triangle, And here in this question we have A = 150 cm & B = 20 cm.

By using the required formula and substituting all the given values in the formula, we get :

\begin{gathered}\sf{:\implies \mathcal{A}rea_{(triangle)} =\frac{1}{2} (b  \times  h)} \\ \\ \\ \sf{:\implies \mathcal150=  \frac{1}{ \cancel 2}  \times  \cancel{20} \times h }  \\  \\  \\  \sf{  :  \implies \mathcal150 = 10 \times h}  \\  \\  \\  \sf{:\implies  \frac{15 \cancel0}{1 \cancel0 }= h}  \\  \\  \\   \sf{ :\implies{ \boxed{ \red{ \sf{15 = h}}} }} \end{gathered}

\sf{\therefore \underline{The\: Height\: of\: triangle\:is\: 15\: cm}}

\sf{ \pink{ \underline{Verification}}}

We have,

  • Base = 20 cm
  • Height = 15 cm
  • Area = 150 cm

\begin{gathered}\sf{:\implies \mathcal{A}rea_{(triangle)} =  \frac{1}{2} (b  \times  h)} \\ \\ \\ \sf{:\implies \mathcal150=  \frac{1}{ \cancel 2}  \times  \cancel{20} \times 15}  \\  \\  \\  \sf{  :  \implies \mathcal150 = 10 \times 15}  \\  \\  \\  \sf{:\implies  150  = 150}\end{gathered}

\sf{ \blue{ \underline{ Hence\:Verified}}}

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