TYPES OF TRIANGLES
PROPERTIES
PERIMETER / AREA
100

 The angles of a triangle are in the ratio 2 : 3 : 4.Find the measures of all three angles.

The measures of the three angles are 40, 60, 80

100

Two sides of a triangle measure 7 cm and 13 cm.What are the possible lengths of the third side?

6 < x < 20

100

What is the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm?

12

200

What do you call an isosceles triangle that has one angle greater than 90 degree?

Obtuse isosceles

200

Based on the converse of the Isosceles Triangle Theorem, if two angles in a triangle are equal, what must be true about the sides?

The sides opposite those angles must be equal

200

What value, often denoted as p or s, is required to calculate the area using Heron's Formula?

Semi-perimeter

300

What figure does the popular theorem, named after the ancient Greek philosopher and mathematician  relate to?

Right-angled triangle

300

If you go 1 km north, 1 km east, 1 km south from any point on the Earth's surface and go back to your starting point, where is the only possible point of your starting position? (This question is based on the properties of the Triangle).

North Pole (North Pole). (If you live at the North Pole, walking 1 km east will bring you to your original location when you return (south). This trip forms a closed figure with three sides – a triangle).

300

The side faces of the Egyptian pyramids are triangular. And why should the figure at its base necessarily be a square (square)?

The four side faces of the pyramid should meet at one point (end). In order for four triangles to meet at one end, their bases must necessarily form a square.