Question

The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 15 m2. Find the height of the
triangle.
+
m
6

Answer 1

Answer:

10

Step-by-step explanation:

height = 2(Base) + 4

h = 2b + 4

Area of Triangle

A= bh/2

15 = b (2b) +4) / 2 multiply both sides by 2 and distribute the b

30 = 2$b^{2}$ + 4b         Divide everything by 2

15 = $b^{2}$ + 2b            Subtract 15 from both sides

$b^{2}$ + 2b -15 = 0       Look a quadratic. Factor or use quadratic formula

b =   3 or b = -5      Measurements of length can't be negative. So its 3

h = 2(3) + 4              Substitute 3 in to find height

h = 10