Question

38. area of the triangular field is 96 metre square and its and its height and base is in ratio which is 1 ratio 3 show the length of the base of the triangle is
(1)8
(2) 12
(3) 16
(4)24​

Answer 1

Answer:

Given :-

• Area of triangular field = 96 m
• Height and base are in ratio 1:3

To Find :-

Base

Solution :-

As we know that

$\sf \red{Area = \dfrac{1}{2} \times base \times height}$

Let the ratio be 1x and 3x

$\sf \: 96= \dfrac{1}{2} \times 1x \times 3x$

$\sf \: \dfrac{96}{2} = 1 \times {3x}^{2}$

$\sf \: 48 = 3x {}^{2}$

$\sf \: \dfrac{48}{3} = {x}^{2}$

$\sf \: 16 = {x}^{2}$

$\sf \: \sqrt{16 } = x$

$\sf \: 4 = x$

Hence :-

Length of base = 3(4) = 12 cm

Option B

Answer 2

Length of base = 3(4) = 12 cm