If two sides of a right triangle are 3 cm and 7 cm. What is the length of the hypotenuse?
Given: Two sides of a right triangle are 3 cm and 7 cm.
To find: Here we have to find the length of the hypotenuse.
Solution:
Now,
Let Base of the triangle = 3 cm
And,
Height of the triangle = 7 cm
Therefore,
Using Pythagoras theorem:
(Hypotenuse)2 = (Base)2 + (Height)2
(Hypotenuse)2 = (3)2 + (7)2
(Hypotenuse)2 = 9 + 49
(Hypotenuse)2 = 58
Hypotenuse = $\sqrt58$
Hypotenuse = 7.62 cm
So, length of hypotenuse is 7.62 cm.
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