Find the length of the hypotenuse of a right triangle with legs of 9 cm and 11 cm
recall the Pythagorean Theorem, and you get
√(9^2 + 11^2) = √(81+121) = ___
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the legs of the right triangle are given as 9 cm and 11 cm.
Let's use the Pythagorean theorem to find the length of the hypotenuse:
c^2 = a^2 + b^2
Where:
c is the length of the hypotenuse
a and b are the lengths of the other two sides (legs)
Substituting the given values:
c^2 = 9^2 + 11^2
c^2 = 81 + 121
c^2 = 202
To find c, we can take the square root of both sides:
c = √202
c ≈ 14.2 cm
Therefore, the length of the hypotenuse of the right triangle is approximately 14.2 cm.
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Given that the legs of the triangle are 9 cm and 11 cm, you can use the Pythagorean theorem to find the length of the hypotenuse. Let's denote the length of the hypotenuse as 'c'.
Using the formula:
c^2 = a^2 + b^2
where 'a' and 'b' are the lengths of the legs, you can plug in the values:
c^2 = 9^2 + 11^2
c^2 = 81 + 121
c^2 = 202
To find the value of 'c', you need to take the square root of both sides of the equation:
c = √202
Using a calculator, you can find that the square root of 202 is approximately 14.21 cm.
Therefore, the length of the hypotenuse of the right triangle with legs of 9 cm and 11 cm is approximately 14.21 cm.