Isosceles and Right Triangles

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What is an isosceles triangle?

An isosceles triangle is a triangle with at least two sides of equal length.

What is a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

How many equal angles does an isosceles triangle have?

An isosceles triangle has at least two equal angles.

What special property does the hypotenuse have in a right triangle?

The hypotenuse is the longest side in a right triangle, opposite the right angle.

How do you identify the base of an isosceles triangle?

In an isosceles triangle, the base is the side that is different in length, if any sides are different.

What formula is used to calculate the area of a right triangle?

Area = 1/2 × base × height.

What is the altitude in an isosceles triangle?

The altitude is a line segment from the vertex opposite the base to the base, and it is perpendicular to the base.

What are the properties of the angles in a right triangle?

A right triangle has one angle of 90 degrees and the sum of all angles is 180 degrees.

Can an isosceles triangle also be a right triangle?

Yes, if the two equal sides include the right angle.

How do you calculate the perimeter of an isosceles triangle?

Add the lengths of all three sides.

What is the Pythagorean theorem used for in right triangles?

It is used to calculate the length of a side: a² + b² = c², where c is the hypotenuse.

What is the minimum number of congruent sides in an isosceles triangle?

At least two sides are congruent.

How can you determine if a triangle is a right triangle using side lengths?

Use the Pythagorean theorem: if a² + b² = c² holds true, it is a right triangle.

What is the median of an isosceles triangle with respect to its base?

The median from the vertex opposite the base bisects both the base and the vertex angle.

What geometric shape do the heights of an isosceles triangle form when extended?

They form a perpendicular bisector for the base.