SOLUTION: if the hypotenuse of a right triangle is 37 kilometers and one of the legs is 35 kilometers,what is the area of the triangle

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Question 471952: if the hypotenuse of a right triangle is 37 kilometers and one of the legs is 35 kilometers,what is the area of the triangle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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if the hypotenuse of a right triangle is 37 kilometers and one of the legs is 35 kilometers,
what is the area of the triangle
:
Let a = the unknown leg of the right triangle, then we have
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369
a^2 = 1369 - 1225
a^2 = 144
a = sqrt%28144%29
a = 12 km is the other leg
:
Find the area
A = 1%2F2*12*35
A = 210 sq/km