If a right triangle has legs that are both 12 cm long, how long is the hypotenuse? Round the answer to the nearest hundredth (1 po
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To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b). In equation form, it can be written as:
c^2 = a^2 + b^2
Given that both legs of the right triangle are 12 cm long (a = 12 cm and b = 12 cm), we can substitute these values into the equation:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we need to take the square root of both sides of the equation:
c = sqrt(288)
Using a calculator, we can find that the square root of 288 is approximately 16.97.
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
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.
Let's denote the length of the hypotenuse as c and the length of the legs as a and b.
Given that both legs are 12 cm long, we can substitute a = b = 12 into the equation.
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we need to take the square root of both sides of the equation.
c = √(288)
c ≈ 16.97 cm
Therefore, the length of the hypotenuse is approximately 16.97 cm when rounded to the nearest hundredth.
The length of the hypotenuse can be found using the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the legs. Let's denote the length of the hypotenuse as "c" and the lengths of the legs as "a" and "b":
a² + b² = c²
Since both legs are 12 cm long, we can substitute this value into the equation:
12² + 12² = c²
Simplifying this equation gives:
144 + 144 = c²
288 = c²
To find the value of c, we can take the square root of both sides:
c = √288
Using a calculator, we find that √288 is approximately 16.97 cm.
Rounded to the nearest hundredth, the length of the hypotenuse is 16.97 cm.