Question

Tell whether each set of measures for a triangle determines more than one triangle or notriangle.10. 5 cm , 10 cm, 2 cm11. 60°, 60°, 60°12. 7 cm, 7 cm, 15 cm

Answer 1

A triangle is valid if sum of its two sides is greather than the third side. If three sides are a, b and c, then three conditions should be met.

10. 5cm, 10cm, 2cm

`\begin{gathered} 5+10>2 \\ 15>2\text{ -> False} \end{gathered}`

This cannot be a triangle.

11. Since it has all its angles equals, that means it is a equilateral triangle.

12. 7cm, 7cm, and 15cm

`\begin{gathered} 7+7>15 \\ 14>15\text{ -> False} \end{gathered}`

It cannot be a triangle.