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

1 Answer
Dec 26, 2016

Yes, we can.

Explanation:

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.