The height of a triangle is 7 cm longer than its base. The area of the triangle is 60 cm2.
What is the base of the triangle?
Enter your answer in the box.

the base of the triangle is 8 cm

Step-by-step explanation: ⇒ cm²

Substitute the given values in [1] we have;

Multiply both sides by 2 we have;

or

⇒

Now factorize this equations:

⇒

⇒

By zero product property we have;

b-8 = 0 and b+15 = 0

⇒b = 8 and b = -15

Since, the base of the triangle cannot be in negative.

⇒b = 8 cm

Therefore, the base of the triangle is 8 cm

Base = b

height =h = b+7

Area = 1/2 * b* h

60 = 1/2*b*(b+7)

120 =b2+7b

b2+7b-120=0

(b+15)(b-8) =0

b=-15 and b=8

base cannot be negative

so base =b =8 cm

hope it's helpful too u

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f

step-by-step explanation:

f

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole