Question

A triangle has a base of 10m. If the height is 2x m and the area is 80 x² sq.m ,find the area and the height of the triangle.

Answer 1

Area of triangle

= 1/2 * base * height

80x^2 = 1/2*10*2x

80x = 10

x = 10/80 = 1/8

Therefore,

Area = 80*(1/8)^2

= 10/8 = 5/4 = 1.25 m^2

Height = 2x = 2/8 = 1/4

=.25 m

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Answer 2

Answer:

Given:

• A triangle has a base of 10m. If the height is 2x m and the area is 80 x² sq.m

To find:

• find the area and the height of the triangle.

Solution:

Base = 10m

Height = 2xm

Area = 80x²m

Area of triangle

$\sf{ \frac{1}{2} \times b \times h}$

$\large \longrightarrow\sf{ \frac{80 {x}^{2} }{x} }$

Base = 10m

$\large \longrightarrow \sf{x = \frac{10}{80} = \frac{1}{8} }$

$\longrightarrow\sf{80 \times \frac{1}{8} = \frac{5}{4} }$

Height = 2x sq.m

$\longrightarrow \sf{2 \times \frac{1}{8} = \frac{1}{4} }$

Therefore,

The area and height of a triangle = 1/4