Question

The formula for finding the area of a triangle with base b and height h is Area = 1/2bh. What is the formula for the area of a triangle with base b and height b/2?
Area= 1/4 b^2
Area= b^2h
Area= 4bh
Area= bh

Answer 1

$Area\;of\;Triangle = \frac{Base \times Height}{2}\\\\Given\;Base = b\;and\;Height = \frac{b}{2}\\\\Area\;of\;Triangle = \frac{(b)(\frac{b}{2})}{2} = \frac{1}{4} \times b^2$

1st Option is Right

Answer 2

Changeing h for b/2 we have

$A = \frac{1}{2} b (\frac{b}{2}) = \frac{b^2}{4}$