Can you find the base of the isosceles triangle?

How can i find the base of an isosceles triangle without a calculator, when I have all the angles and the lenghts of the two legs?

  • Answer:

    First recognize that an isosceles triangle is two right triangles with the congruent sides acting as the hypotenuses of the two right triangles. The height of the isosceles triangle is one of the "legs" of the right triangles, and the other "leg" of each right triangle is half of the base. Using the Pythagorean Theorem (h^2 = a^2 + b^2), you can find the base.

Jamie W. at ChaCha Visit the source

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