SOLUTION: In an isosceles right_triangle,the square of the hypotenuse is 98cm.find the length of the congruent sides

Question 829358: In an isosceles right_triangle,the square of the hypotenuse is 98cm.find the length of the congruent sides
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
An isosceles triangle has two equal sides. In a right triangle, a^2 + b^2 = c^2. We're given c^2 (the hypotenuse) as 98cm. Because it's an isosceles, we know that a & b are the same length.
Here's our equation:
a^2 + b^2 = 98
Since they are equal, it becomes:
2a^2 = 98
Divide each side by 2:
a^2 = 49
Take the square root of each side:
a = 7
If a = 7, then b = 7.
Your sides are 7, 7, and (square root of 98, or 9.9, but your teacher likely wants you to write it as the square root of 98)
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