Pythagoras' Theorem: Finding a Shorter Side
• Introduction

This worksheet is about using Pythagoras' Theorem to calculate a shorter side in a right-angled triangle.

In a right angled triangle, the hypotenuse is always the longest side: it is opposite the largest angle (the right angle).

Therefore to find the square of one of the shorter sides you subtract the squares of the lengths of the other two sides.

Example:

 x2 = 492 - 92 = 2401 - 81 x2 = 2320 x = √2320 x = 48.2
• Question 1

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 2

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 3

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 4

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 5

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 6

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 7

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 8

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 9

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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• Question 10

Calculate the length of the side marked x in the following triangle, rounding your answer to 1 dp if it is not a whole number.

x =
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