Pythagorean Theorem G7

Introduction:

The Pythagorean theorem for a right triangle of leg lengths an and b and hypotheses of length c is given by the formula a squared plus b squared equals c squared.. The hypotenuse is the longest side and is the side opposite the right angle. The legs are the other two sides of the right angled triangle.

Example 1: Find the length of the hypothalamus whose length lengths are 12 cm and 5 cm respectively.
Solution 1: c squared equals 5 squared plus 12 squared c squared equals 25 plus 144 c squared equals 169 square root of c squared equals square root of 169 c equals 13 cm.

Example 2: Find the length of a leg of a right triangle whose other leg length is 4 units and whose hypotenuse is of length 5 units.
Solution 2: a squared plus 4 squared equals 5 squared a squared equals 25-16 a squared equals 9. Square root of a squared equals square root of 9 an equals 3 units.

Example 3: A ramp of length 10 m I’d 4m high. How long is the other side of the ramp?
Solution 3: a squared plus 4 squared equals 10 squared a squared equals 100 – 16. Square root of a squared equals square root of 84 a equals square root of 84 m .

Conclusion:

The Pythagorean theorem is very useful in carpentry when carpenters use 3 4 5 triangles and 5 12 13 triangles everyday.