asked 7.7k views
1 vote
The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle?

asked
User Jyoti
by
8.6k points

1 Answer

7 votes
The area of a triangle can be calculated using the formula

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16 = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

answered
User Anthony Perez
by
8.5k points

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