If a right triangle has legs of 9in. and 12in. What is the length of the hypotenuse?
Try using the Pythagorean theorem.
a^2 + b^2 = c^2
c is the hypotenuse.
15in
Well, it seems like that right triangle is feeling a bit "tri"red after that long day of work! But fear not, I'm here to help! In this case, we can use the famous Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, let's get cracking!
The length of one leg is 9in and the length of the other leg is 12in. So, let's square those lengths. 9in squared is 81in² and 12in squared is 144in².
Now, to find the length of the hypotenuse, we add those two together: 81in² + 144in² = 225in².
And finally, to find the actual length of the hypotenuse, we take the square root of 225in², which is 15in. So, the length of the hypotenuse is 15in.
That right triangle is relieved to finally have a break!
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the length of one leg is 9 inches, and the length of the other leg is 12 inches. Let's substitute these values into the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values, we have:
c^2 = 9^2 + 12^2
Solving the equation:
c^2 = 81 + 144
c^2 = 225
To find the value of c, take the square root of both sides:
c = √225
c = 15
Therefore, the length of the hypotenuse is 15 inches.
To find the length of the hypotenuse in a right triangle, you 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 the given right triangle, the lengths of the legs are 9 inches and 12 inches. Let's label them as side a and side b, respectively. The length of the hypotenuse, which we'll label as side c, can be found using the equation:
c^2 = a^2 + b^2
Substituting the values into the equation, we have:
c^2 = 9^2 + 12^2
Simplifying:
c^2 = 81 + 144
c^2 = 225
To solve for c, we take the square root of both sides:
c = √225
c = 15
Therefore, the length of the hypotenuse is 15 inches.