Question

The base of the triangle is twice the height. AREA =256

Answer 1

Answer:

Height of triangle is 16 units.

Base of triangle is 2 x 16 = 32 units.

Step-by-step explanation:

It is given that the base of a triangle is twice its height.

Let the height of that triangle be a units, and thus, base of triangle be 2a units.

From the properties of triangles : -

• Area of triangle = 1 / 2 x height x base

Given, area of triangle is 256 unit^2.

Thus,

= > 1 / 2 x a units x 2a units^2 = 256 units^2

= > 1 / 2 x 2a^2 unit^2 = 256 unit^2

= > a^2 = 256 unit^2

= > a = ±√256 unit^2

= > a = 16  units         { since length can't be negative }

Hence,

Height of triangle is 16 units.

Base of triangle is 2 x 16 = 32 units.