## one side of a right triangle measure 20m and the difference in length of its hypotenuse and the other side is 8 cm. find the lengt

Question

one side of a right triangle measure 20m and the difference in length of its hypotenuse and the other side is 8 cm. find the length of its unknown side other than hypotenuse?

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Mathematics
2 years
2021-06-22T02:47:44+00:00
2021-06-22T02:47:44+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:let the hypotenuse be x

so the remaining side will be x-8

according to question one side is 20

by pythagorus theorem we get

h^2= b^2 +p^2

x^2=(x-800)^2 + 20^2

x^2=x^2+64-16x +400 {(a-b)^2= a^2+b^2+2ab}

x^2-x^2+16x =464

x=464/16

x=29

so hypotenuse= x= 29

one side = x-8=21

and another side which is given is 20