If three sides of a triangle are represented by three consecutive odd numbers and the perimeter is 75cm.Find the length of the s
ides.
1 answer:
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Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = ← factor numerator and denominator
= ← cancel the factor (x + 5) on numerator/denominator
=
= 10