### All Common Core: High School - Geometry Resources

## Example Questions

### Example Question #1 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths 4 , 5 , and 3 is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in 4 for , 5 for , and 3 for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

### Example Question #1 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

No

Yes

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

### Example Question #1 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

### Example Question #2 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

### Example Question #4 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are equal, we can conclude that the side lengths are a right triangle.

### Example Question #2 : Use Trigonometric Ratios And Pythagorean Theorem To Solve Right Triangles: Ccss.Math.Content.Hsg Srt.C.8

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

No

Yes

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for c.

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

No

Yes

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

Yes

No

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.

### Example Question #54 : Similarity, Right Triangles, & Trigonometry

Determine whether a triangle with side lengths , , and is a right triangle.

**Possible Answers:**

No

Yes

**Correct answer:**

No

To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in for , for , and for .

If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.