The height of a triangle is 2cm more than the base of the height is increased by 2cm while the base remains the same the new area becomes 85.5cm^2 find the base and height of original triangle

Remember that a triangle's area is bh/2, where

b = base

h = height

So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.

b(h+2)/2 = 82.5

b(h+2) = 165

What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.

(a) If b=13 and h=15, b(h+2) = 221 nope.

(b) If b=9 and h=11, b(h+2) = 117 nope.

(c) If b=11 and h=13, b(h+2) = 165 that's it!

Step-by-step explanation: