Which of the following are measures of a right triangle
3cm,4cm,5cm
5cm,6cm,7cm
7cm,8cm,9cm
8cm,9cm,10cm
Answers
Answer:
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Step-by-step explanation:
Pythagoras' Theorem
3.1 Pythagoras' Theorem
Pythagoras' Theorem relates the length of the hypotenuse of a right-angled triangle
to the lengths of the other two sides.
The hypotenuse is always the longest side: it is always the
side opposite the right angle.
The diagram opposite shows a right-angled
triangle. The length of the hypotenuse is
5 cm and the other two sides have lengths
3 cm and 4 cm.
In this diagram, a square, A, has been
drawn on the 3 cm side.
Area of square A = 3 3 ×
= 9 cm2
In this diagram, a second square, B, has
been drawn on the 4 cm side.
Area of square B = 4 × 4
= 16 cm2
Squares A and B together have total area:
Area A + Area B = 9 16 +
= 25 cm2
Finally, a third square, C, has been
drawn on the 5 cm side.
Area of square C = 5 5 ×
= 25 cm2
We can see that
Area A + Area B = Area C.
This formula is always true for right-angled triangles.
5 cm
4 cm
3 cm
A 5 cm
4 cm
A
B
5 cm
A