All Common Core: 8th Grade Math Resources
Example Questions
Example Question #2 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
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 #61 : Geometry
Triangle ABC is a right triangle. If the length of side A = 3 inches and C = 5 inches, what is the length of side B?
1/2 inches
1 inches
4.5 inches
4 inches
6 inches
4 inches
Using the Pythagorean Theorem, we know that .
This gives:
Subtracting 9 from both sides of the equation gives:
inches
Example Question #81 : Geometry
An 8-foot-tall tree is perpendicular to the ground and casts a 6-foot shadow. What is the distance, to the nearest foot, from the top of the tree to the end of the shadow?
In order to find the distance from the top of the tree to the end of the shadow, draw a right triangle with the height(tree) labeled as 8 and base(shadow) labeled as 6:
From this diagram, you can see that the distance being asked for is the hypotenuse. From here, you can either use the Pythagorean Theorem:
or you can notice that this is simililar to a 3-4-5 triangle. Since the lengths are just increased by a factor of 2, the hypotenuse that is normally 5 would be 10.
Example Question #41 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Find the perimeter of the polygon.
Divide the shape into a rectangle and a right triangle as indicated below.
Find the hypotenuse of the right triangle with the Pythagorean Theorem, , where and are the legs of the triangle and is its hypotenuse.
This is our missing length.
Now add the sides of the polygon together to find the perimeter:
Example Question #11 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of and ,
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.
Example Question #1271 : Basic Geometry
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of and ,
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.
Example Question #1272 : Basic Geometry
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of and ,
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.
Example Question #1273 : Basic Geometry
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of and ,
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.
Example Question #11 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7
Find the length of the hypotenuse of the following right triangle.
Recall the Pythagorean Theorem, which is used to find the length of the hypotenuse.
For any triangle with leg lengths of and ,
Take the square root of both sides to find the length of the hypotenuse.
Plug in the given values to find the length of the hypotenuse.