Respuesta :

alan007865

Answer:

c = 12.5

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)

lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)

plug into the Pythagorean theorem.

10^2 + 7.5^2 = c^2

simplify (here you just square 10 and 7.5)

100 + 56.25 = c^2

simplify

156.25 = c^2

simplify

(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)

12.5 = c

Answer: 12.5

Step-by-step explanation: the pythagorean theorem is used to solve this equation theorem is (a x a) + (b x b) = (c x c) this is also called squaring

first substitute them in : (10 x 10) + (7.5 x 7.5) = (c x c)

then multiply 10 x 10 = 100 and 7.5 x 7.5 = 56.25 then substitute again

100 + 56.25 = (c x c) then add

156.25 = (c x c) then calculate the square root of 156.25 which is 12.5

hope this helps mark me brainliest if it helped

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