Answer:
The hypotenuse is exactly sqrt(149) units long
This is approximately equal to 12.20656
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Work Shown:
The right triangle has sides a,b,c such that
a = 7
b = 10
c = unknown hypotenuse (aka longest side)
Let's use the pythagorean theorem to solve for side c
a^2 + b^2 = c^2
7^2 + 10^2 = c^2
49 + 100 = c^2
149 = c^2
c^2 = 149
c = sqrt(149) which is the exact answer
c = 12.20656 which is the approximate answer
The approximate answer is rounded to five decimal places