Question

How many triangles can be constructed with three sides measuring 11 meters, 16 meters, and 26 meters?

Answer 1

One. There is also a website with a calculator where you put the lengths and it tells you how many can be made and also the angles. I hope this helps you. Good luck!

Answer 2

Answer:

Only one triangle can be constructed with three sides measuring 11 meters, 16 meters, and 26 meters

Explanation:

We know that:

The sum of the length of any two sides of a triangle must be greater than the third side.

As per the statement:

Three sides measuring 11 meters, 16 meters, and 26 meters.

then;

$11+16 = 27 > 26$

$11+26 = 37 > 16$

$16+26 = 42 > 11$

$16-11 = 5 < 26$

$26-16 = 10< 11$

$26-11 = 15 < 16$

therefore, the inequality above are true , there is exactly one triangles with these sides measures 11 meters, 16 meters, and 26 meters