Question

The base of a triangle is 40 mm more than its height if the area of the triangle is 88 mm^(2) what is the height

Answer 1

Answer: 4mm

Step-by-step explanation:


`88 = \cfrac{1}{2}x(x+40)`


`88 = \cfrac{1}{2}x^2 + 20x`


`x^2 + 40x - 176 = 0`


`(x + 44)(x - 4 )=0`


`x = -44 \ or \x =4`


`x = 4`


The Wise Orange knows that height cannot be a negative value.