Danielle wants to construct different triangles with angle measures of 90, 45, and 45, but she was only able to draw the triangle shown on the right. What mistake might Danielle might have made?

Question

chuckthedonut · Answer

Hmm..let me try this out, I might not be able to help-

Bexley · Answer

@chuckthedonut wrote:

Hmm..let me try this out, I might not be able to help-

It's totally fine lol

BlackWidow · Answer

Danielle might have accidentally drawn a triangle with angles 30, 60, and 90 instead of the desired 45, 45, and 90. The 30-degree angle could have been mistakenly perceived as a 45-degree angle.

chuckthedonut · Answer

@blackwidow wrote:

Danielle might have accidentally drawn a triangle with angles 30, 60, and 90 instead of the desired 45, 45, and 90. The 30-degree angle could have been mistakenly perceived as a 45-degree angle.

Thanks for helping @bexley

BlackWidow · Answer

@chuckthedonut wrote:

@blackwidow wrote:

Danielle might have accidentally drawn a triangle with angles 30, 60, and 90 instead of the desired 45, 45, and 90. The 30-degree angle could have been mistakenly perceived as a 45-degree angle.

Thanks for helping @bexley

ofc 💜

KyledaGreat · Answer

The triangle shown on the right with angles of 90, 45, and 45 degrees is a right isosceles triangle, which means that it has two equal sides and one right angle. This is the only triangle that can be constructed with these angle measures.

If Danielle is trying to construct different triangles with these angle measures, she may be making a mistake by assuming that she can change the length of the sides or the size of the angles while still maintaining the same angle measures. However, the sum of the angles in a triangle always adds up to 180 degrees, so if two of the angles are fixed at 45 degrees and 90 degrees, the third angle must be 45 degrees as well.

Therefore, the only way to construct a triangle with angle measures of 90, 45, and 45 degrees is to create a right isosceles triangle, as shown in the diagram.

Bexley · Answer

@kyledagreat wrote:

The triangle shown on the right with angles of 90, 45, and 45 degrees is a right isosceles triangle, which means that it has two equal sides and one right angle. This is the only triangle that can be constructed with these angle measures. If Danielle is trying to construct different triangles with these angle measures, she may be making a mistake by assuming that she can change the length of the sides or the size of the angles while still maintaining the same angle measures. However, the sum of the angles in a triangle always adds up to 180 degrees, so if two of the angles are fixed at 45 degrees and 90 degrees, the third angle must be 45 degrees as well. Therefore, the only way to construct a triangle with angle measures of 90, 45, and 45 degrees is to create a right isosceles triangle, as shown in the diagram.

Thank you