Answer: The length of the hypotenuse is √(10)*a
Step-by-step explanation:
Remember the Pythagorean theorem.
If b is the larger base, and a the shorter base, and H is the hypotenuse:
a^2 + b^2 = H^2
now, we know that b = 3*a.
(3*a)^2 + a^2 = H^2
10*a^2 = H^2
√(10)*a = H
Then we have the length of the hypotenuse in terms of the shorter base, B.
