SOLUTION: Given the isosceles triangle ACB (right angle C) with sides of length 6, a) find the altitude CD ( point D is between line AB b) find the area of triangle ACB.

Question 779100: Given the isosceles triangle ACB (right angle C) with sides of length 6, a) find the altitude CD ( point D is between line AB b) find the area of triangle ACB.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
You mean, with LEGS of length 6. This is a Special triangle, 45-45-90 Degreed. The area is simply, taken one leg as a base, AREA RESULT: square units.

Knowing the area, and leg lengths permit you to find the altitude. First you can find the longest side, which could act as a base. Use pythagorean theorem to find this base (which is hypotenuse of the right-isosceles triangle):

Let A = area of 18
Let b = base of 6*sqrt(2)
Let a = altitude, unknown to be found

Area Formula:

Substitute the known values:

FINAL RESULT:
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