Question

An eighth-grade student said the side length 41,40 and 9 do not form a right triangle, because

Answer 1

Answer:

Error was CHOOSING the CORRECT hypotenuse in the given sides.

H = 41 units

Step-by-step explanation:

Here, the given sides of the triangle are: 41,40 and 9

Now, as we know in a RIGHT ANGLED TRIANGLE:

The longest side is the HYPOTENUSE.

So, here H = 41

Now, by PYTHAGORAS THEOREM:

$({PERPENDICULAR)^2 + ( BASE)^2 = (HYPOTENUSE)^$

$(40)^2 + (9)^2 = 1600 + 81 = 1681 = (41)^2\\\implies (40)^2 + (9)^2 = (41)^2$

Hence, Pythagoras theorem for Right angled triangle is SATISFIED

So, error was CHOOSING the CORRECT hypotenuse in the given sides.

The correct H = 41 units and NOT 40 units.