Question

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

Answer 1

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.