The question is an illustration of Pythagoras theorem
The length of the hypotenuse is 11.8 cm
The legs of the right triangle have the following measures
Leg 1 = 7 cm
Leg 2 = 9.5 cm
So, the length of the hypotenuse (h) is calculated using the following Pythagoras theorem.
[tex]h = \sqrt{Leg\ 1^2 + Leg\ 2^2}[/tex]
This gives
[tex]h = \sqrt{7^2 + 9.5^2}[/tex]
Evaluate the squares
[tex]h = \sqrt{139.25}[/tex]
Evaluate the exponent
[tex]h = 11.8[/tex]
Hence, the length of the hypotenuse is 11.8 cm
Read more about right triangles at:
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