Kenneth S. answered • 11/08/17

Tutor

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Algebra II EXPERT will help you survive & prosper

Suggestion: DRAW THIS TRIANGLE and LABEL all the facts that you know about it.

The altitude (height) creates 2 right ∇s; in each one the hypotenuse is 14-x, x is the base, and the altitude (other leg) is 7√2 (Verify this by adding two sides, 14-x each, plus the base, 2x, of the isosceles triangle to get perimeter = 28.

Now apply the Pythagorean Theorem to one of the two rt. triangles; thus you will solve for x.

Then the area of the isosceles triangle is ½(2x)(7√2.

*Note: √98 = 7√2.*