Question

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The area of a triangle is 54 cm .if it's base length is 12 cm .Find the length of the longest side


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Answer 1

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Proper Question

• The area of the right angled triangle is 54 cm. If one of its legs is 12 cm long,find its longest side.

★Longest side = 15 cm

Given

• area=54cm^2
• One of the side = 12cm

Now

Let us consider base as 12cm and height as x

Now

• Area = 1/2 *b*h
• 54=1/2*12*h
• 54=6*h
• h =54/6
• h=9

Now longest side of a triangle is always the hypotenuse

Finding Hypotenuse by pythagoros

• a^2 +b^2 =c^2
• 12^2 +9^2 =c^2
• 225=c^2

Thus, c i.e longest side = 15 cm

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Answer 2

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✧══════•❁❀❁•══════✧

Proper Question

The area of the right angled triangle is 54 cm. If one of its legs is 12 cm long,find its longest side.

★Longest side = 15 cm

Given

area=54cm^2

One of the side = 12cm

Now

Let us consider base as 12cm and height as x

Now

Area = 1/2 *b*h

54=1/2*12*h

54=6*h

h =54/6

h=9

Now longest side of a triangle is always the hypotenuse

Finding Hypotenuse by pythagoros

a^2 +b^2 =c^2

12^2 +9^2 =c^2

225=c^2

Thus, c i.e longest side = 15 cm

✧══════•❁❀❁•══════✧

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