Question

8You are asked to draw a triangle withside lengths of 10 inches, 7 inches, and2 inches. How many triangles like thiscan you draw?A. OneB. ThreeC. TwoD. Zero

Answer 1

D. Zero

Step-by-step explanation

The triangle inequality states that the sum of any two sides of a triangle is greater than the third side,

All these inequalities must be true to be able to form a triangle with the given sides,

`\begin{gathered} 7+10>2\Rightarrow17>2\Rightarrow true \\ 2+10>7\Rightarrow12>7\Rightarrow true \\ 7+2>10\Rightarrow9>10\Rightarrow false \end{gathered}`

Hence, no triangle can be formed with these side lengths.