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?
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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

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3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5