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Triangles: Properties & Formulas

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Triangles: Properties & Formulas

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Triangle properties and formulas

Created by

Osiris Herrera
Osiris Herrera
Colombia

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Triangles: Properties & Formulas
 

Triangles: Properties & FormulasOnline version

Triangle properties and formulas

by Osiris Herrera
1

A triangle has two measuring 45° and 60°. Based on the properties of triangles, what is the measure of the angle?

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2

A student claims that a triangle can have side lengths of 2cm, 4cm, and 8cm. Using triangle properties, which statement best evaluates this claim?

3

A triangle has sides of lengths 5cm, 10cm and x cm. According to triangle inequality rules, which of the following represents the possible values of x?

4

In a triangle, one exterior angle measures 125°, and one of the remote interior angles measures 40°. What is the measure of the other remote interior angle?

5

A triangle has sides of lengths 7cm, 6cm, and 5cm. Which angle is the largest?

6

A triangle has all three sides equal. Based on triangle properties, which conclusion is correct?

7

A triangle has two equal sides. What can be concluded about the angles opposite those sides?

8

A right triangle has one angle measuring 90°. What is always true about the other two angles?

9

A triangle has angles of 30°, 60° and 90°. If the shortest side measures x, what is the length of the hypotenuse?

10

A triangular garden has a base of 8 meters and a height of 6 meters. What is the area of the garden?

11

A triangle has two sides with lengths of 4 and 9 units. According to the Triangle Inequality Theorem, which of the following could be the length of the third side (x)?

12

In a certain triangle, two of the interior angles measure 35° and 55°. What is the measurement of the third angle?

13

What is the area of an equilateral triangle if the length of one of its sides is 4 units?

14

In a special 30-60-90 right triangle, if the shortest leg (the side opposite the 30° angle) measures 5 units, what is the length of the hypotenuse?

15

An exterior angle of a triangle measures 110°. If one of the non-adjacent interior angles measures 40°, what is the measure of the other non-adjacent interior angle?

16

Which triangle has a 90° angle?

17

What identifies an isosceles angle?

18

Which triangle has sides of different lengths?

19

What is the measure of each angle of the equilateral triangle?

20

Which angles, when added together, always equal 360°?

21

Which of the following best describes a scalene triangle?

22

A triangle has sides measuring 6 cm, 8 cm, and 10 cm. What is its perimeter?

23

In a triangle, the altitude is drawn from a vertex to the opposite side. What does the altitude represent?

24

Two triangles have corresponding angles equal and their sides proportional. What can be concluded about them?

25

In a right triangle, the legs measure 9 cm and 12 cm. What is the length of the hypotenuse?

 
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