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

9514 1404 393

  672 m²

Step-by-step 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.