Question

Dwayne is finding the base of the triangle shown. It's area is 100 square meters. find his mistake and correct it.

Answer 1

$100 = \frac{1}{2} 20 \times (b) \\ 100 = 10b \\ b = 10$

Answer 2

His mistake is in the formula for Area of triangle. The correct formula is:

$A= \frac{1}{2}(base)(height)$

Given that, Area= 100 sq. meter and height = 20 meter

So,

$100 = \frac{1}{2}(base)(20)\\ \\ 100 = (base)(10)\\ \\ base = \frac{100}{10}=10$

So, the base of the triangle will be 10 meter.