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marta [7]
2 years ago
14

Pythagorean Theorem with Known Legs

Mathematics
2 answers:
IgorC [24]2 years ago
5 0

Answer:

\sqrt{170} = c

Step-by-step explanation:

We are trying to find the hypotenuse of a right triangle

We will use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and  c is the hypotenuse

11^2 + 7^2 = c^2

121 + 49 = c^2

170 = c^2

Taking the square root of each side

\sqrt{170} = c

vichka [17]2 years ago
3 0

Answer:

\red{c = \sqrt{170} }

Step-by-step explanation:

We can use Pythagorean Theorem to find the value of the hypotenuse(C).

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  {7}^{2}  +  {11}^{2}  =  {c}^{2}  \\ 49 + 121 =  {c}^{2}  \\ 170 =  {c}^{2}  \\  \sqrt{170}  = c \\ 13.03 \: units = c

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