Pythagoras's theorem on the Cartesian plane
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Lesson details
Key learning points
- In this lesson, we will learn how to use Pythagoras's theorem on the Cartesian plane to help you find the distance between two given points.
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7 Questions
Q1.
Which side the the hypotenuse of the below triangle?
n
p
Q2.
The digram shows a right-angled triangle. What is the length of the hypotenuse?
√10 cm
10 cm
13
Q3.
The right-angled triangle ABC has short sides of length 8 cm and 4 cm. Find the length of AC.
12 cm
48 cm
80 cm
Q4.
Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:
2, 3, 4
5, 6, 7
Q5.
Sandra tried to calculate the unknown length. What mistake has she made in Step 1?
She did not need to square the numbers.
She should have written 6 + 10 = x squared.
Q6.
Sandra tried to calculate the unknown length. What mistake has she made in Step 2?
Made a mistake with re arranging the equation.
Mixed up the hypotenuse and shorter side lengths.
Q7.
What do you need to do in order to find the area of the triangle shown below.
Find the length of the perpendicular height using Pythagoras then multiply by 32.
Find the length of the perpendicular height using Pythagoras then multiply by 68
Multiply 32 x 68 then divide by 2.
6 Questions
Q1.
What is the coordinate of the point shown below?
(1, 2)
2, 1
Q2.
The digram shows a right-angled triangle. Which of the statements is incorrect?
B
C
Q3.
Work out the length of the hypotenuse of the triangle shown below.
√77 cm
77 cm
85 cm
Q4.
Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:
5, 10, 15
5, 8, 10
Q5.
What is the length of the line below
14
25
4
Q6.
Find the distance between the points (2, 1) and (4, 3).
2
4
8