Question

Ted has the following triangle dimensions.

side length of 8
side length of 14
side length of 23
How many triangles can he construct?
A.He can construct only one triangle.
B.He can construct two triangles.
C.He can construct three triangles.
D.He cannot construct a triangle.

Answer 1

Answer=D

The sum of the two smaller sides of a triangle must be greater than the longer side length

a+b>c
plug in our data
8+14>23
22>23 is not a valid statement

So no triangles can be made from the dimensions

Answer 2

Answer: D) He cannot construct a triangle

Explanation:

For a triangle to be possible the largest side must be less than the sum of other two sides .

In the given question largest side is 23 while other two sides are 8 and 14

Therefore for triangle to be possible 23 should be less than (8+14) but 23 > (8+14) .

Thus he can not construct a triangle using the given sides.

Hence correct option is D)He cannot construct a triangle.