Practice Practice Exercises (5) - Theorems in Geometry & Trigonometry - IB 10 Mathematics

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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the height of a tree that casts a shadow of 10 m when the angle of elevation is 45°?
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Use tan(45°) = 1.
Question 2.
In a right triangle, one leg is 4 cm and the other is 3 cm, what is the hypotenuse?
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Apply Pythagorean Theorem.
3Question 3.
What does Pythagorean Theorem state?
- a² + b² = c²
- a + b + c = 180°
- a² + b = c
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Think about right-angled triangles.
4Question 4.
True or False: The Basic Proportionality Theorem is valid only in right triangles.
- True
- False
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Consider other triangle properties.
Question 5.
A triangle has sides measuring 7 cm, 24 cm, and an unknown hypotenuse. Without completing the square, can you find the hypotenuse?
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Remember, look for right angle indicators!
Question 6.
In triangle ABC, angle C is 90°, and AB is the hypotenuse measuring 26 cm. If one leg measures 10 cm, find the other leg.
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Keep in mind the relationship of sides in a right triangle.

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