Question

In $△$ CDE , $\angle$ C = 30° and $\overline{CD}$ = 8 cm. Which is the correct information needed to construct the triangle?

• A. $△$ CDE is an isosceles triangle with base $\overline{DE}$
• B. $△$ CDE is right angled at $\angle$E
• C. $\overline{DE}$ = 11 cm and $\angle$ E = 80°
• D. None of the above

Answer 1

The correct option is A $△$ CDE is an isosceles triangle with base $\overline{DE}$

Given that, $△$ CDE is an isosceles triangle with base $\overline{DE}$.
i.e., $\overline{CD}$ = $\overline{CE}$ = 8 cm
$\therefore$ using SAS criteria we can construct the triangle, since the including angle $\angle$ C = 30° is also given.