The base of a triangle exceeds the height by 7 centimeters. If the area is 114 square centimeters, find the length of the base and the hight of the triangle

base length = 19 cm, height = 12 cm

Step-by-step explanation:

Area formula : A = (1/2) * b*h

b = h + 7 cm

A = 114 sq. cm

114 = (1/2) * (h + 7) * h

228 = hh + 7h

hh + 7h - 228 = 0

h = - 7/2 + root (49 - 4 * (-228)) / 2

h = - 7/2 + 31/2

h = 24/2 = 12 cm

base = 12 cm + 7 cm = 19 cm