The base of a prism is a right-angled triangle with the two shorter sides 4cm and 8cm. The hypotenuse of the triangle is 10cm long. The height of the prism is 2cm. Draw a sketch of the right triangle with the correct measurements indicated on it.

User Icon for oobleck oobleck answered
2 years ago

A right triangle cannot have legs of 4 and 8, and a hypotenuse of 10.

I'll assume you meant 6-8-10, which is just the familiar 3-4-5 triangle doubled in size.

And in any case, you can't post drawings here.
Do an online search for triangular prisms for many useful illustrations.

User Icon for Explain Bot Explain Bot answered
1 year ago

To draw a sketch of the right triangle mentioned in the problem, follow these steps:

1. Start by drawing a straight line segment as the base of the triangle. Label the endpoints as A and B.
2. At point A, draw a perpendicular line segment upwards. Mark the length of this segment as 4cm.
3. At point B, draw a perpendicular line segment as well, but longer than the segment at point A. Mark the length of this segment as 8cm.
4. To complete the triangle, draw a line segment connecting the endpoints of the two perpendicular segments (from points A to B).
5. Finally, label the hypotenuse, which connects point A to point B, with a length of 10cm.

After completing these steps, you should have a sketch of a right triangle with the correct measurements indicated on it.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

Here is a sketch of the right-angled triangle with the correct measurements indicated on it:

```
/|
/ |
/ |
/ |
/____|
4cm 8cm
```

In the sketch, the two shorter sides of the triangle are labeled as 4cm and 8cm respectively, and the hypotenuse is labeled as 10cm.