Practice Real-world Applications (3) - Theorems in Geometry & Trigonometry

Practise this section

10 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is Pythagoras' Theorem?
Show hintHide hint
Think about the relationship between the sides of a right triangle.
Question 2.
How many degrees are in the sum of the angles of a triangle?
Show hintHide hint
Remember the triangle sum theorem.
3Question 3.
What does Pythagoras' Theorem state?
- A^2 + B^2 = C^2
- A + B = C
- A - B = C
Show hintHide hint
Recall the formula commonly used in right triangles.
4Question 4.
True or False: The sum of angles in a triangle is always 180 degrees.
- True
- False
Show hintHide hint
Think about how triangles look.
Question 5.
You are standing 100 meters away from a 30-meter tall building. If you measure the angle of elevation to the top of the building, what angle do you find?
Show hintHide hint
Use your inverse tangent function.
Question 6.
A triangle has angles of 45° and 60°. Find the third angle and explain how you used the Triangle Sum Theorem.
Show hintHide hint
Remember to sum the angles and subtract from 180°.

6 more questions in this section. Enroll free to practise them all.