Question

Draw a large scalene right triangle. Then draw the perpendicular bisectors of its three sides and tell whether they appear to meet in a point. If so, where is this point?

Short answer

The diagram showing a large scalene right triangle and the perpendicular bisectors of its three sides is:

Yes, the perpendicular bisectors of the right scalene triangle appears to meet at a point.

The point where the perpendicular bisectors meets is the midpoint of the hypotenuse of the triangle.

Step-by-step solution

Step 1. Write the definition of scalene triangle and right triangle.

The scalene triangle is a triangle in which none of the three sides is equal.

The right triangle is a triangle in which one of the angles have measure equal to $\mathbf{90}\mathbf{°}$.

Step 2. Write the definition of perpendicular bisector.

The perpendicular bisector to a line is the line drawn perpendicular to the given line and which also bisects the given line.

Step 3. Draw a large scalene right triangle and the perpendicular bisectors of its three sides.

The diagram showing a large scalene right triangle and the perpendicular bisectors of its three sides is:

Yes, the perpendicular bisectors of the right scalene triangle appears to meet at a point.

The point where the perpendicular bisectors meets is the midpoint of the hypotenuse of the triangle.