Question 64196: Find the exact lengt of the hypotenuse of this right triangle. give exact answer.
A=9
B=6
c=
Found 2 solutions by praseenakos@yahoo.com, chitra:
Answer by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! QUESTION
Find the exact lengt of the hypotenuse of this right triangle. give exact answer.
A=9
B=6
c=
ANSWER
In a right triangle,
Hypotenuse)^2 = A^2 + B^2
= 9^2 + 6^2
= 81 + 36
= 117
Therefore hypotenuse = square root of 117
= 10.816653826391.....
You will not get an exact value, because Sqrt of 117 is an irrational number.
We can take the approximate value as 10.82 correct to two decimals.
Or we can take 10.817 correct to three decimal and so on.
Hope you understood.
Regards.
praseenakos@yahoo.co.in
Answer by chitra(359) (Show Source):
You can put this solution on YOUR website! The lenght of the hypotenuse of a right angeled triangle is determined by using the Pythagoras Theorem.
The Pythagoras Theorem states that " the square of the hypotenuse is equal to the sum of the squares of the other two sides".
Hence if the sides of the triangle are represented by a, b, c where c is the hypotenuse, then by the theorem:
By data, we have,
a = 9, b = 6 and to find c = ?
Substitute the values of a and b in the above formula. Hence, we get:
Hence, taking the square root, we get:
c = 10.8166
rounding off, we get:
c = 10.82
Happy calculating!!!!
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