Transcript Pythagorean Theorum

Pythagorean Theorum
Adham Jad
Background & Concept Evaluation
What is a triangle?
How many sides does a triangle have?
What is the sum of angles in a triangle?
Right Triangle
A
B
C
A right triangle or a right-angled triangle is a triangle in which one angle is a right angle
i.e. 90 degree angle.

The side AB is called perpendicular.

The side AC is called hypotenuse.

The side BC is called base.
Hypotenuse is the longest side of right angled triangle. It is opposite to the right angle
Right Triangle Examples
A
B
C
Following are examples of right triangles.
Review
A
A
B
C
B
C
Figure 2: Right Triangle
Figure 1: Triangle

A triangle is a three sided closed figure

Right triangle is the triangle with one angle equal to 90 degrees.

Hypotenuse is the longest side of right angled triangle. It is opposite to
the right angle.
Pythagoras Theorem
Pythagorean Theorem is stated as:
The sum of the squares of the sides of a right triangle is equal to the square of
the hypotenuse.
Pythagoras Theorem
A
𝑐2
𝑎2
B
𝑏
2
Mathematically,
𝑎2 + 𝑏2 = 𝑐 2
C
Pythagoras Theorem Practice
A
𝑐 =?
𝑎 = 12
B
Given triangle in the figure, length of sides
a=12, b=4
. Find unknown length of hypotenuse, c.
𝑏=4
C