SOLUTION: An isosceles triangle with legs of 8cm and a base of 10cm in length has a median drawn from its vertex angle to its base what is the leg that of this segment

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Question 1065712: An isosceles triangle with legs of 8cm and a base of 10cm in length has a median drawn from its vertex angle to its base what is the leg that of this segment
Answer by josgarithmetic(39618) About Me  (Show Source):
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Let the length of the median be y.
The median cuts the isosceles triangle into two congruent right triangles, each with leg y and 10%2F2=5. Hypotenuse FOR EACH RIGHT TRIANGLE is 8.

y%5E2%2B5%5E2=8%5E2
Find y.