A right angle triangle has a 40 degree angle and hypotenuse = 10. Find the other angles and sides.

Expert Answers

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Let ABC be a right angle triangle such that B is the right angle.

==> AC is the hypotenues = 10

==> A = 40 degrees.

==> Then, we conclude that the angle C = 180-A-B = 180 - 90 - 40 = 50 degrees.

==> C = 50 degrees.

Now we will use trigonometric identities to find the sides.

We know that:

cos A = adjacent / hypotenuse.

==> cos 40 = AB/ AC

==> cos 40 = AB/ 10

==> AB = 10*cos 40 = 7.66

==> BC = 10*cos 50 = 6.43

Approved by eNotes Editorial Team

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