Question

Two angles of a triangle have the same measure.

If two sides have lengths 15 and 20, what is the
greatest possible value of the perimeter of the
triangle?

Answer 1

9514 1404 393

Answer:

55 units

Explanation:

If two angles have the same measure, the triangle is isosceles. That means two sides have the same measure. Since the two given sides are different measures, the remaining side must be one of those. The perimeter will be greatest if the congruent sides are the longest. The greatest perimeter is ...

15 + 20 + 20 = 55 . . . units