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ANSWER: A = 57cm^2
EXPLANATION: Find the length of the smaller bottom on the triangle by using pythagorean theorem, then from there you multiply the base x height (6.02 x 6) and then divide by 2. Save that number for later. (18.06) Then subtract the 6.02 from 19 to find the base of the other small triangle. You would get 12.98. Multiply the base and height (12.98 x 6) and divide by 2. You would get 38.94. Then add the two areas together (38.94 + 18.06). The answer would then be 57.

The area of the given triangle will be 57 cm^2

Concept

  • The value of altitude and base of triangle is given
  • We will just put the value of base of triangle and altitude in formula of area of triangle

How to solve this problem?

The steps are as follow:

  • Given

a = altitude of triangle = 6 cm

b = base of traingle = 19 cm

  • Area of triangle is given by following formula:

A = (ah)/2

A = (6 x 19)/2

A = 114/2

A = 57 cm^2

So the area of given triangle will be 57 cm^2

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