The base of a triangle is given as 2b. The height of the triangle is given as 5b-7. Find an expressions for the area of the tria ngle. If the area of the triangle is 24 square unirse, what is the base?
1 answer:
Answer:
Step-by-step explanation:
Area = 1/2 * 2b * (5b - 7)
Area = 1/2 * 2b * (5b - 7) = 24
b * (5b - 7) = 24
5b^2 - 7b = 24
5b^2 - 7b - 24= 0
(b- 3 )(5b + 8) = 0
b = 3 This the only solution that works. b can't be minus
The base is 2b or 2 * 3 = 6
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