Question

what is the area, in sq millimeters, of a right triangle with a hypotenuse of 68 millimeters and a leg of 60 millimeters?

a. 2,040
b. 1,920
c. 1,088
d. 960

Answer 1

B

32*60=1920

Answer 2

See, hypotenuse is given and one of its side given can be thought as Either base or Height..

Let We suppose that Height is given as 60 mm..

Now,
\[Base = \sqrt{(Hypotenuse^2 - Height^2)}\]

So, base will be :\[B = \sqrt{68^2 - 60^2} = \sqrt{(4624 - 3600)} = \sqrt{1024} = 32\]
So Base = 32 mm

Now use:\[Area =(Base)*(Height)/2 = 32*60/2 = 32*30 = 960 mm\] is the answer..
So, your option is D...