# Rectangle in Triangle

Pro Problems > Math > Geometry > Triangles > Right Triangles## Rectangle in Triangle

1

4

2

3

Presentation mode

Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.Assign this problem

Click here to assign this problem to your students.## Similar Problems

### Find the Hypotenuse

The sides of a right triangle are x + 3, x + 5, and x + 7. Find x.

### Pythagorean Triple

In a right triangle, the sides have lengths x, x + 21, and x + 24. What is the length of the hypotenuse of the triangle?

### Climbing a Volcano

Harold climbs a conical volcano. The base of the mountain is 1 kilometer wide, and the caldera (the plateau at the top) is 0.1 kilometers wide. If the volcano is 2 kilometers tall from base to caldera, how far does Harold have to hike to reach the caldera? Give your answer to the nearest 100th of a kilometer.

### Right Triangle Hypotenuse

The length of the hypotenuse of a right triangle is one more than one of the legs. The other leg has a length of 11. What is the length of the hypotenuse?

# Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!**Get a**

*FREE*Pro-Membership!Educators can get a free membership simply by sharing an original lesson plan on our

*Articles for Educators*page!

Like us on Facebook to get updates about new resources