Equal angles and equal lengths
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The base angles of an isosceles triangle are the two angles with the same measure, each formed by the intersection between the base of the triangle and one of the two legs.
in an isosceles triangle, if the legs have length L, then the hypotenuse has length L square root of 2
LL Congruence theorem says: If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent.
For isosceles triangle both legs are the same, 10 cm. The hypotenuse is square root of sum of legs squared, = sqrt (10 squared + 10 squared) = 14.1 cm
square root of two.