Suppose that a right-angled triangle has legs of length a and b and hypotenuse of length c.
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Question:
Suppose that a right-angled triangle has legs of length a and b and hypotenuse of length c. (a) If the area of the triangle equals its perimeter,
show that ab = 4a + 4b − 8. (ignore the units here.)
(b) Determine all such triangles that have integer side lengths.
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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