Question

Which information is correct to create a triangle?

• A. $\overline{AB}$ = 5 cm , $\angle$ A = 35°, $\angle$ C = 75°
• B. An equilateral triangle with side 6 cm
• C. A right angled triangle with two other angles measured 40° and 50°
• D. An isosceles triangle with equal sides 5 cm

Answer 1

The correct option is B An equilateral triangle with side 6 cm

We can construct a triangle when,
1) Three sides are given
2) Two sides and included angle are given
3)Two angles and included side are given
4) The hypotenuse and one side of a right angled triangle are given.

So, here we are given with an equilateral triangle with side 6 cm. Hence, we have all 3 sides of the triangle as 6 cm. Therefore, we can construct a triangle for this condition.

In the case of other the three options, the information given is not sufficient to construct an unique triangle.