The 3 sides of the triangle are 3cm 4cm 3cm it is a__________Triangle
Answers
Answer:
Pythagoras' Theorem relates the lengths of the sides in a right-angled triangle.
A right-angled triangle has one angle of 90°.
The side opposite the right angle is always the longest side, and is called the hypotenuse.
The diagram on the left shows a right-angled triangle.
The lengths of the sides are 3cm, 4cm and 5cm.
The hypotenuse is the 5cm side because it is opposite the right-angle and it is the longest side.
Now look at the diagram on the right.
A square has been drawn on each of the sides of the triangle above.
We are going to examine the areas of each of the squares.
Shorter sides
The square on the 3cm side has an area of 3cm × 3cm = 9cm².
The square on the 4cm side has an area of 4cm × 4cm = 16cm².
Hypotenuse
The square on the 5cm side has an area of 5cm × 5cm = 25cm².
How they are related
If you add together the areas of the squares on the two shorter sides, you get 25cm². This is the same as the area of the square on the hypotenuse.
(3cm × 3cm)+(4cm × 4cm)=(5cm × 5cm)9cm²+16cm²=25cm²