The base of a triangle is 4 cm greater than the height the area is 30 cm² find the height and the length of the base

answer is 15 cm²

plz give me the brainliest

height = 6 cm

Base  = 10 cm

Step-by-step explanation:

Let height  = h cm

Base           = h + 4

Area of triangle  = 30 cm²

Multiply the equation by 2

(h + 4) * h = 30*2

h*h + 4*h = 60

h² + 4h = 60

h² + 4h - 60 = 0

Product = -60

Sum  = 4

Factors = 10, (-6)

h² + 10h - 6h - 6 * 10 = 0

h(h + 10) - 6(h + 10) = 0

(h +10)(h - 6) = 0

{Ignore h + 10 = 0 because measurements will not be in negative}

h - 6 = 0

    h = 6 cm

    b = 6 + 4 = 10 cm

option: d is correct

step-by-step explanation:

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