Question

1. The area of a triangle is 90 cm? If its base is 15 cm, find its attitude.​

Answer 1

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Altitude of the given Triangle = 12 cm

Step-by-step explanation:

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• Area of a Triangle = 90 cm

• Base = 15cm

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• The Altitude of The Triangle

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• We know that Area of a Triangle =$\bf \frac{1}{2}\times \: bh$

• $\bf \frac {1}{2} \times base\times \: height$

• Here in this question base is given as 15 cm

• So, substitute the value of base in $\bf \frac{1}{2}\times \:bh = Area$

• $\bf \frac{1}{2}\times15h = Area$

• Area = 90cm

• $\bf \frac{1}{2}\times15h = 90$ =

• $\bf 1 × 15h = 90 × 2$

• $\bf h = \frac{90 × 2}{15}$

• $\bf h = \frac{\cancel90 × 2}{\cancel15}$

• $\implies$6 × 2 = 12 cm

• So, Altitude = 12cm

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To check our answer we have to substitute the value of Base and Altitude in the equation $\bf \frac{1}{2} \times bh$ and check whether our answer is 90.

• $\bf \frac{1}{2} \times bh$

• $\bf \frac{1}{2} \times \: 15 \times 12$

• $\bf \frac{1}{\cancel2} \times 15\times \cancel12$

• $\bf 15 \times 6 = 90$

• 90

• So, we got the answer as 90 !

Hence Verified ✔✔

Answer 2

Using Area of Trangle Formula, We get Area of Triangle = 1/2*b*h

90 = 1/2*15*h

90 = 15/2*h

180 = 15*h

12 = h