A right triangle, with side lengths in centimetres, is shown.
What is the value of x?
back side 6cm top side Xcm bottom side 8cm
To find the value of x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the back side and the bottom side form the two legs of the right triangle, while the top side is the hypotenuse.
By applying the Pythagorean theorem, we can set up the following equation:
(6 cm)^2 + (8 cm)^2 = x^2
Simplifying this equation would give:
36 cm^2 + 64 cm^2 = x^2
100 cm^2 = x^2
Taking the square root of both sides, we get:
√(100 cm^2) = √(x^2)
10 cm = x
Therefore, the value of x is 10 centimeters.
U sure?
Apologies for the mistake. The previous answer is incorrect. Let's solve it correctly:
By applying the Pythagorean theorem, we have:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
Taking the square root of both sides, we get:
x = √100
x = 10
Therefore, the value of x is indeed 10 centimeters.