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Area and perimeter:

If two of triangles sides are equal and the third side is 5 more than the equal sides, what is the length of the third side? If the perimeter of the given triangle is 50 units.

a) 5 units

b) 10 units

c) 15 units

d) 20 units

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Answer: Let x = length of the equal side

P = sum of the three sides

Plug in the values from the question and from the sketch.

50 = x + x + x+ 5

50 = 3x + 5

3x = 50 – 5
3x = 45
x =15