Question

the base of a triangle is 5 more than the height. if the area is 322 cm². what is the length of height and base of the triangle is cm​

Answer 1

Answer:

Formula for the area: A = 1/2 (bh)

(bh) / 2 = 810

[b x (b-6)/2] / 2 = 810

[(b^2 - 6b) / 2 ] / 2 = 810

(b^2 - 6b) / 4 = 810

b^2 - 6b = 3240

b^2 - 6b -3240 = 0

(b - 60) (b + 54) = 0

Considering only the positive value,

b = 60 cm

To find height, we have:

h = (60 - 6) / 2

h = 54 / 2

h = 27 cm