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Pythagoras theorem
Pythagoras theorem
Theory
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1)
Two sides of a triangle measure 10 inches and 6 inches. Which of the following choices for the length of the third side will make the triangle a right triangle?
4 inches
7 inches
8 inches
9 inches
2)
The length of the hypotenuse of a right triangle is 32 inches and the length of one of the legs is 18 inches. What is the length, to the nearest tenth of an inch, of the other leg of the triangle?
36.7 inches
28.4 inches
26.5 inches
25.4 inches
3)
Given that c² = a² + b² and a = 8, b = 15, what is the value of c?
289
529
17
23
4)
The hypotenuse of a right angled triangle is opposite to the
acute angle
right angle
obtuse angle
none of these
5)
A triangle is said to satisfy the rule c² = a² + b² for which special triangle?
obtuse angled
acute angled
none of these
right angled
6)
In a right triangle, which side is the hypotenuse?
The shortest side
The longest side
The side opposite the right angle
The side adjacent to the right angle
7)
If the lengths of two sides of a right triangle are 3 units and 4 units, what is the length of the hypotenuse?
25 units
12 units
7 units
5 units
8)
What is the relationship between the lengths of the sides of a right triangle according to the Pythagorean theorem?
The sum of the squares of all three sides equals zero.
The sum of the squares of all three sides equals the square of the hypotenuse.
The sum of the squares of the two longer sides equals the square of the hypotenuse.
The sum of the squares of the two shorter sides equals the square of the hypotenuse.
9)
The Pythagorean theorem only applies to right triangles. True or False?
False
True
10)
If the lengths of two sides of a right triangle are 8 units and 15 units, what is the length of the hypotenuse?
40 units
31 units
17 units
23 units