Question

If the area of ​​a triangle is 1176 cm, if the ratio of the base and the relative height is 3: 4, then what will be the height of the triangle?​

Answer 1

$\huge\sf{Answer:56cm^2}$

Given that:

• Area of triangle = 1176cm.

• Ratio of the base and the relative height = 3:4.

To find:

• The height of triangle.

$\huge\sf{\underline{\underline{Solution:}}}$

Area of triangle = 1176

$\frac{1}{2} \times base \times height = 1176 \\ \\ \frac{1}{2} \times 3x \times 4x = 1176 \\ \\ 6 {x}^{2} = 1176 \\ \\ x {}^{2} = 196 \: \\ \\ x = 14 \\ \\ height = 4x = 4 \times 14 = 56cm {}^{2}$

Therefore,

$\bold{Height\:=56cm^2}$