Answer:
10 units
Step-by-step explanation:
Let a, b, c represent the sides of the right triangle, with hypotenuse c.
We are given ...
(a/2)^2 +b^2 = (√73)^2
a^2 + (b/2)^2 = (2√13)^2
Adding these two equations, we get ...
(5/4)a^2 + (5/4)b^2 = 125
Multiplying by 4/5 gives ...
a^2 + b^2 = 100
But we know that ...
a^2 + b^2 = c^2 = 100
so
c = √100 = 10
The length of the hypotenuse of the right triangle is 10.
