The lengths of the two legs of a right triangle are 4 and 7. What is the length of the
hypotenuse? Express answer in Simplified Radical Form.



Respuesta :

Answer:8.06

Step-by-step explanation:

4 x 4= 16 7 x 7 = 49

49+16=65

square root of 65 =8.06

Answer:

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

To find the hypotenuese of a right angle you use the pythagreon theroem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

a and b are the height and base, while c is the hypotenuese. simply insert the values in the equation and find the variable.

[tex] {4}^{2} + {7}^{2} = {c}^{2} \\ 16 + 49 = {c}^{2} \\ 65 = {c}^{2} \\ \sqrt{65} = c[/tex]

The radical form answer is above, otherwise it would be a decimal.

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