Answer:
Length of hypotenuse is 13 unit or 5 unit
Step-by-step explanation:
Find;
Length of hypotenuse
Computation;
Assume;
Length of hypotenuse = h
Length of longer leg = h - 1
Length of shorter leg = h - 1 - 7
Using Pythagorean theorem
hypotenuse² = longer leg² + shorter leg²
h² = (h - 1)² + (h - 1 - 7)²
h² = (h - 1)² + (h - 8)²
h² = h² - 2h + 1 + h² - 16h + 64
h² = 2h² - 18h + 65
h² - 18h + 65 = 0
h² - 13h - 5h + 65 = 0
h(h - 13) -5(h - 13)
(h - 13)(h - 5)
So,
Length of hypotenuse is 13 unit or 5 unit
