Question

The height of a triangle is twice the base. The area of the triangle is 625 square inches. Carson says the base of the triangle is at least 50 inches. Is Carson's estimate reasonable? Explain.

Answer 1

The answer to your question is Carson is wrong, the base measures 25 in and the height 50 in

Explanation:

Data

height = 2base

Area = 625 in²

Formula

Area = (1/2)base x height

Process

1.- Use the formula of Area to find the length of the base

Consider that height = 2base

h = 2b

Area = (1/2)bh

Area = (1/2)(b)(2b)

Simplification

Area = (1/2)2b²

Substitution

625 = 2/2 b²

b =
`√(625)`

b = 25

2.- Conclusion

Carson is wrong because the base is half the length he thinks it is.