Question

If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? Would you be able to create a frame from these pieces of wood?

Answer 1

Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.

Explanation:

• The triangle inequality tells that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Given sides of the triangle are 4 inches, 4 inches, and 7 inches.

Here,
`4+4=8>7\\7+4=11>4`

So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.

As it has two equal sides as 4 inches , then it must be an isosceles triangle.