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50 m

50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.

1 Answer

3 votes

9514 1404 393

Answer:

672 m²

Explanation:

There are several ways you can do this.

It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:

h² = 50² -14² = 2304

h = √2304 = 48

Then the area is ...

A = 1/2bh

A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area

_____

Additional comment

You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.

User Arthur Nunes
by
5.8k points
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