Isosceles and Right Triangles

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What is an isosceles triangle?
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An isosceles triangle is a triangle with at least two sides of equal length.
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What is a right triangle?
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A right triangle is a triangle that has one angle measuring 90 degrees.
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How many equal angles does an isosceles triangle have?
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An isosceles triangle has at least two equal angles.
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What special property does the hypotenuse have in a right triangle?
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The hypotenuse is the longest side in a right triangle, opposite the right angle.
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How do you identify the base of an isosceles triangle?
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In an isosceles triangle, the base is the side that is different in length, if any sides are different.
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What formula is used to calculate the area of a right triangle?
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Area = 1/2 × base × height.
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What is the altitude in an isosceles triangle?
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The altitude is a line segment from the vertex opposite the base to the base, and it is perpendicular to the base.
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What are the properties of the angles in a right triangle?
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A right triangle has one angle of 90 degrees and the sum of all angles is 180 degrees.
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Can an isosceles triangle also be a right triangle?
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Yes, if the two equal sides include the right angle.
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How do you calculate the perimeter of an isosceles triangle?
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Add the lengths of all three sides.
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What is the Pythagorean theorem used for in right triangles?
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It is used to calculate the length of a side: a² + b² = c², where c is the hypotenuse.
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What is the minimum number of congruent sides in an isosceles triangle?
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At least two sides are congruent.
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How can you determine if a triangle is a right triangle using side lengths?
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Use the Pythagorean theorem: if a² + b² = c² holds true, it is a right triangle.
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What is the median of an isosceles triangle with respect to its base?
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The median from the vertex opposite the base bisects both the base and the vertex angle.
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What geometric shape do the heights of an isosceles triangle form when extended?
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They form a perpendicular bisector for the base.
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