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
:
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(144)}}}
a = 12 km is the other leg
:
Find the area
A = {{{1/2}}}*12*35
A = 210 sq/km