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Form 2 Mathematics: Pythagoras theorem online video lessons
The figure below shows a triangle ABC which is right-angled at C. CB = 8 cm and AC = 6 cm. Find CD.
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1.
Introduction: Deriving the Pythagoras theorem
2.
Solutions of problems using Pythagoras theorem
3.
Applications of Pythagoras Theorem
4.
Revision exercise on Pythagoras Theorem
5.
The figure below shows a triangle ABC which is right-angled at C. Find: (a) AB when AC = 5 cm and BC = 12 cm. (b) AC when AB = 20 cm and BC = 16 cm. (c) BC when AC = 10 cm and AB = 26 cm. (d) AB when AC = 5 m and BC = 6 m.
6.
Calculate the length of the diagonal of a rectangle whose sides are 6 cm and 8 cm long.
7.
Find the length of the diagonal of a square of side 4 cm.
8.
Find the height of an isosceles triangle if the equal sides are each 26 cm and the base is 48 cm long.
9.
Find the length of a side of a square whose diagonal is 6 cm.
10.
(a) Determine the length of a side of a rhombus whose diagonals are 18 cm and 24 cm long. (b) The shorter diagonal of a rhombus of side 25 cm is 30 cm. Find the length of the other diagonal.
11.
Find the height of an equilateral triangle of side 10 cm.
12.
The figure below shows a trapezium ABCD in which side AB is perpendicular to both AD and BC. Side AD = 17 cm, DC = 10 cm and CB = 9 cm. Calculate the length AB.
13.
An electric pole is supported to stand vertically by a tight wire as shown below. Find the height of the pole.
14.
The figure below shows a triangle ABC which is right-angled at C. CB = 8 cm and AC = 6 cm. Find CD.
15.
The figure below represents a cross section of a building. The building is 9 metres wide and 12 metres high. If the slant edge measures 8 metres, calculate the height from the floor to its roof.
16.
A ship leaves port Q and moves straight due West to port R covering a distance of 320 km. Port R is 180 km to the North of port S. Find the shortest distance in km between port S and Q. (Give the answer to 4 s.f).
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