Question

The height of triangle thrice of base. Area of triangle is 54m² find out the base and height.
​

Answer 1

Step-by-step explanation:

The area of a triangle is ½ (b × h), where b is the base and h is the height. The base of a triangle is any one of the sides, and the height of the triangle is the length of the altitude from the opposite vertex to that base.

Answer 2

Given that;

→Area=54m²

→h=height and 3h=base

→→Area of ∆= 1/2bh

$\frac{1}{2} \times 3h \times h \\ \frac{1}{2} \times 3 {h}^{2} \frac{3 {h}^{2} }{2} = area$

$54 {m}^{2} = \frac{3 {h}^{2} } {2} \\ \frac{54 \times 2}{3} = {h}^{2} \\ 64 = {h}^{2} \\ \sqrt{64} = h \\ 8 = h$

→b=3×8=24m

Hope it helps ✌