Question

How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

none

more than one

one

How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

one

more than one

none

Answer 1

Hope this helps :)

Explanation:

(1) 5 + 5 = 10 so it is less than 16 so it would be a line segment, so the answer is none.

(2) 6 + 2 = 8 which is bigger than 7 so it would be a triangle, so the answer is one.

Answer 2

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is one.