Question

Please solve this question

Answer 1

Let the height of triangle be x and the base be 4x.

A.T.Q

1/2×base×height=50
1/2×4x×x=50
${4x}^{2} \div 2 = 50$
${4x }^{2} = 50 \times 2 \\ {4x}^{2} = 100 \\ {x}^{2} = 100 \div 4 \\ {x}^{2} = 25 \\ x = \sqrt{25}$
x=5

Therefore length of base = 4x =4×5=20m.

Answer 2

Let the height of the triangle be h

Let the base be b

Area = 1 / 2 * b * h

Given:

base is 4 times the height

base = 4 h

So:

Area = 1 / 2 * 4 h * h

50 m² = 2 * h²

==> h² = 50 m² / 2

==> h² = 25 m

==> h = 5 m

The base is 4 times h

==> 4* 5m

==> 20 m

The answer to the question is 20 m

Hope it helps you

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