Mathematics
Grade10
Easy
Question
In a right triangle, one side is 19 m, the second side is 20 m. Find the hypotenuse.
Hint:
Pythagoras theorem states that if a triangle is right angled then the square of the hypotenuse is equal to the sum of the squares of other two sides.
The correct answer is: ![square root of 761](data:image/png;base64,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)
Here, we have to find the hypotenuse.
In a right triangle, the two other sides are 19m and 20m.
We have, h² = 19² + 20²
Or, h² = 361+400
Or, h = √761 m.
Hence, the correct option is (A) .
TThe pythagoras theorem is expressed as h2 = p2 + b2 ,where h is the hypotenuse and p &b are the other two sides.