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If the sides of the triangle are equal it is an isosccees triangle. Therefore the altitude (height) of the triangle divides the base into two equal parts. This resu;ts in two equal right angle triangles. The length of either equal side is the hypotenuse of a right triangle and its length follows directly from application of the Pythagorean thereom. length squared = base/2 sqiared + height squared or c2=a2+b2. c2=(12/2)2+82 =36+64=100 so c=10

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Q: How do you find the equal sides of a triangle given the base of 12' and 8' high?
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