The height of a triangle is 5 m less than its base. the area of the triangle is 42 mº
what is the length of the base?
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Length of base of triangle = 12 meters

Step-by-step explanation:

Let the base of the triangle be = meters

The height of triangle is 5 less than its base.

So, height of the triangle is given by =

Area of triangle =

⇒

⇒     [Using distribution.]

Area of triangle given =

Thus we have:

Multiplying both sides by 2 to remove fraction.

Subtracting both sides by 84.

We can now solve quadratic using formula.

Plugging in values from the quadratic equation to solve for

So,

  and

 and

 and

Since length cannot be negative, we take meters as length of base of triangle. (Answer)

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