ISEE Upper Level Math : How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem
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Example Question #2 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7
If a right triangle has a base of 
To solve this problem, we must utilize the Pythagorean Theorom, which states that:
We know that the base is 
Next we evaluate the exponents:
Now we add them together:
Then, 
Example Question #3 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7
If a right triangle has a base of 
To solve this problem, we are going to use the Pythagorean Theorom, which states that 
We know that this particular right triangle has a base of 
Next, we evaluate the expoenents:
Then, 
To solve for 
Example Question #2 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
What is the hypotenuse of a right triangle with sides 5 and 8?
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According to the Pythagorean Theorem, the equation for the hypotenuse of a right triangle is 
Example Question #3 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7
In a right triangle, two sides have length 
By the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let 
Example Question #3 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
In a right triangle, two sides have lengths 5 centimeters and 12 centimeters. Give the length of the hypotenuse.
This triangle has two angles of 45 and 90 degrees, so the third angle must measure 45 degrees; this is therefore an isosceles right triangle.
By the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let 
Example Question #2 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
In a rectangle, the width is 6 feet long and the length is 8 feet long. If a diagonal is drawn through the rectangle, from one corner to the other, how many feet long is that diagonal?
Given that a rectangle has all right angles, drawing a diagonal will create a right triangle the legs are each 6 feet and 8 feet.
We know that in a 3-4-5 right triangle, when the legs are 3 feet and 4 feet, the hypotenuse will be 5 feet.
Given that the legs of this triangle are twice as long as those in the 3-4-5 triangle, it follows that the hypotense will also be twice as long.
Thus, the diagonal in through the rectangle creates a 6-8-10 triangle. 10 is therefore the length of the diagonal.
Example Question #61 : Plane Geometry
In a right triangle, the legs are 7 feet long and 12 feet long. How long is the hypotenuse?
The pythagorean theory should be used to solve this problem.
Example Question #62 : Plane Geometry
The legs of a right triangle are equal to 4 and 5. What is the length of the hypotenuse?
If the legs of a right triangle are 4 and 5, to find the hypotenuse, the following equation must be used to find the hypotenuse, in which c is equal to the hypotenuse:
Example Question #1 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Refer to the above diagram, which depicts a right triangle. What is the value of 
By the Pythagorean Theorem, which says 
Simply
Example Question #3 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
At your local university, there is a triangular walking path around a grassy area. If the two legs of the triangle form a ninety degree angle, and are each 30 meters long, what is the length of the hypotenuse of the triangle?
At your local university, there is a triangular walking path around a grassy area. If the two legs of the triangle form a ninety degree angle, and are each 30 meters long, what is the length of the hypotenuse of the triangle?
This problem asks us to find the hypotenuse of a right triangle. To do so, we can use Pythagorean Theorem.
Where a and b are the short sides of the triangle, and c is our hypotenuse.
We know a and b are both 30 meters, so plug that in and begin!
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