the length of the base of a triangle is twice its height. if the area of the triangle is 4 square kilometers, find the height
let the height = x
Base = 2x
Area of triangle = (1/2)baseheight
Area = (1/2)2xx = 4
x² = 4
x = √4
x = 2
Height = 2 km.
The height of the triangle is 2 kilometer.
A triangle is a 3-sided polygon. The sum of the angles in a triangle add up to 180 degrees. The sides of a triangle are the length, base and the hypotenuse.
The area of a triangle = \(\frac{1}{2}\) × base × height
Let:
t represent the height of the triangle.
Base = 2 x t = 2t
Area = 4
4 = \(\frac{1}{2}\) × 2t x t
Multiply both sides of the equation by 2
8 = 2t²
Divide both sides by 2
4 = t²
Find the square root of both sides of the equation
t = 2 kilometer.
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