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.