SOLUTION: Triangle RAT is an isoceles right triangle with right angle T and area 50 cm. squared. find the lengths of the legs and hypotenuse.

Question 198854: Triangle RAT is an isoceles right triangle with right angle T and area 50 cm. squared. find the lengths of the legs and hypotenuse.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a triangle:
In an isosceles triangle, as in this problem, the b and h are equal, let's call them x, and the area is given as 50sq.cm., so...
Multiply both sides by 2.
Take the square root of both sides.

Each of the legs is 10 cm.
The hypotenuse (c) can be found by the Pythagorean theorem:, where a = 10cm. and b = 10cm.

Take the square root of both sides.

cm. Approx.
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