Question

Find bc if area of triangle is 36cm²and height ad is 3 cm.

Answer 1

Answer:

36cm×3=108.

Step-by-step explanation:

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Answer 2

Correct Question

Find BC , If area of a ∆ABC is 36cm² and height AD is 3cm.

Answer:-

To Find:-

• The base ( b ) of the triangle.

Given:-

• Area of the triangle = 36cm²
• Height ( h ) = 3cm

Solution:-

We know that

Area of a triangle = 1/2 × base × height

BC is the base ( b ) .... ( ? )

AD is the height = 3cm

Area of ∆ABC = 36 cm²

According the question,

$\sf{ \longrightarrow { \dfrac{1}{2} \times b \times h}} = Area$

$\sf{ \longrightarrow { \dfrac{1}{2} \times BC \times 3}} = 36 {cm}^{2}$

$\sf{ \longrightarrow BC \times \dfrac{3}{2} = 36}$

$\sf{ \longrightarrow BC = 36 \times \dfrac{2}{3}}$

( dividing 36 with 3 )

$\sf{ \longrightarrow BC = 12 \times 2}$

$\sf{ \longrightarrow BC = 24cm}$

$\sf{Now, Verification}$

$\sf{36 = \dfrac{1}{2} \times 24 \times 3}$

$\sf{36 = 12 \times 3}$

$\sf{36 = 36}$

L.H.S = R.H.S

Hence, Proved

Required Answer:-

• BC = 24cm