SOLUTION: If an isosceles right triangle has an area of 98cm. What would the length of the hypotenuse be?

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Question 549451: If an isosceles right triangle has an area of 98cm. What would the length of the hypotenuse be?
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
Isosceles triangles have two legs of the same length and here, the hypotenuse will be a different length.
The formula for the area of a triangle is A=%281%2F2%29b%2Ah
or in this case 98cm=%281%2F2%29b%2Ah
but since we know the base and the height are of the same length, we can use the same variable for both
98cm=%281%2F2%29b%2Ab
196cm=b%5E2
b=14
we also know that
a%5E2%2Bb%5E2=c%5E2
so 196+196=c^2
which would be approx 19.8cm
Another way is to note that this is a 45, 45, 90 triangle
so once you know the base is 14 you can just multiply it by the square root of 2
14%2Asqrt%282%29=19.798