Question

The area of a triangle is 100cm2

. If the altitude is 10cm, then find its

corresponding base.​

Answer 1

Here is the answer

Hope it helped u

Answer 2

Solution:-

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◈ Here, the question has given us the area that is 100 cm² and the altitude (height) of a triangle that is 10 cm respectively. Now, the question has asked us to find the corresponding base of the triangle. So, we will find it by using the formula of Area of a traingle.

ANSWER:-

⇥ The corresponding base of the triangle is 20 cm.

GIVEN:-

➝ Area of the triangle = 100 cm²

➝ Altitude (height) of the triangle = 10 cm

TO FIND:-

⇒ Corresponding base of the traingle ?

FORMULA:-

✦ Area = 1/2 × B × H

Where,

• B = Base
• H = Height (Altitude)

SOLVING BY APPLYING THE FORMULA:-

➝ Area of the triangle = 100 cm²

➝ Altitude (height) of the triangle = 10 cm

✦ Area = 1/2 × B × H

➜$\rm{100 = \dfrac{1}{2} \times B \times 10 }$

➜$\rm{Take \: LCM}$

➜$\rm{LCM = 2}$

➜$\rm{100 = \dfrac{1 \times B \times 10}{2} }$

➜$\rm{100 = \dfrac{B \times 10}{2} }$

➜$\rm{100 \times 2= B \times 10}$

➜$\rm{200= B \times 10}$

➜$\rm{\dfrac{200}{10} = B}$

➜$\rm{\dfrac{{ \not{2}}{ \not{0}}{ \not{0}}}{ \not{10}} = B}$

➜$\rm{\:20= B}$

Hence, we got the answer. The corresponding base is 20 cm.

TO CHECK:-

We know that,

• Area of triangle = 1/2 × B × H
• Base = 20 cm
• Height = 10 cm

➜ Area = 1/2 × 20 cm × 10 cm

➜ Take LCM

➜ LCM = 2

➜ Area = 1 × 20 cm × 10 cm / 2

➜ Area = 20 cm × 10 cm / 2

➜ Area = 200 cm² / 2

➜ Area = 200 cm² / 2 = 100 cm²

➜ Area = 100 cm²

Hence, checked ✓.

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