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How can an isosceles triangle have a right angle?

Answer 1

There's only one solution to #A=90^circ#, #quad B=C quad# and #A+B+C=180^circ# and that's #B=C=45^circ#, so the #45^circ, 45^circ,90^circ# right triangle is isosceles too.

If people's homework are any indication, you'll spend a whole year of trig studying the #45^circ, 45^circ, 90^circ# triangle and the #30^circ, 60^circ, 90^circ# triangle.

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Answer 2

Caroline Aucoin

If the other two angles are #45^@# each.

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Answer 3

Theodore Abad

An isosceles triangle can have a right angle if the two equal sides, known as the legs, are the sides adjacent to the right angle. In this case, the non-equal side, known as the base, would be opposite the right angle. This configuration satisfies the conditions of the Pythagorean theorem, where the square of the length of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the lengths of the other two sides.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.