SOLUTION: find the area of the isosceles triangle with side lengths 14 inches,25 inches,and 25inches

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Question 944858: find the area of the isosceles triangle with side lengths 14 inches,25 inches,and 25inches

Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Using Heron's formula,

So then,




Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the area of the isosceles triangle with side lengths 14 inches,25 inches,and 25inches
================
An isoceles triangle can always be made into 2 congruent right triangles with an altitude from the vertex of the 2 equal sides to the 3rd side.
In this case, it makes two right triangles with sides of 7, 24 & 25.
Area of each = b*h/2 = 7*24/1 = 84 sq inches
Total area = 168 sq inches.

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