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Can you construct a triangle that has side lengths 1 cm, 15 cm, and 15 cm?

Answer 1

Yes, we can.

To construct a triangle, given three sides, we must have the size of the largest side less than the sum of the other two sides.

Here, the largest side is #15# and #15< 15+1#, hence, we can draw the triangle.

To draw the triangle just draw an arc of a circle with radius #15# #cm# and then choosing a point on the arc draw another arc of #1# #cm# radius to form a chord of length #1# #cm# on the circle of radius #15#. Now, just join the ends of the chord to center of the circle with radius #15# #cm# and you have the triangle.

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Answer 2

Caroline Aucoin

Yes, you can construct a triangle with side lengths of 1 cm, 15 cm, and 15 cm. This triangle will be an isosceles triangle, where the two sides that are each 15 cm in length are equal, and the base is 1 cm. The triangle can be constructed as long as the sum of the lengths of the two shorter sides is greater than the length of the longest side, which is satisfied in this case (1 + 15 > 15).

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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.