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Activity Discussion Math Maths



    May 31, 2021 at 12:58 pm
    Not Helpful

    Pythagoras Theorem:

    The mathematical statement states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”

    According to the Pythagoras theorem, if we have a triangle ABC, which is right-angled at B such that ab is equal to length and bc is equal to breadth, then the side CA is the hypotenuse which is equal to the sum of (ab)’s square and (bc)’s square.

    The side ab is also known as perpendicular/ height, bc is known as base, and ac is known as the hypotenuse of the right-angled triangle ABC, where angle B= 90degree.

    Also, the hypotenuse is the longest side in a right-angled triangle.

    Greek Mathematician called Pythagoras found out this theorem hence the name is the same as his own name.

    The formula:

    (perpendicular)^2 +(base)^2= (hypotenuse)^2

    Uses of Pythagoras Theorem:

    1. To identify the triangle as a right-angled triangle.

    2. Any unknown side can be calculated

    3. To calculate the length of the hypotenuse.


    1. The two sides of a right-angled triangle are 10cm and 15cm. Find the third side which is the longest side.

    -So lets consider ABC, wher angle B = 90 degree

    AB= 10cm

    BC= 15cm

    Hence by pythaogras theorem,

    (AB)^2 +(BC)^2= (AC)^2

    Now, putting the values,

    or, 10^2 + 15^2 = (AC)^2

    or, (AC)^2 = 100+225

    or, AC = √325

    or, AC = 18.02

    Hence, AC is equal to 18.02. So the length of the longest side is 18.02cm

    2. The height and hypotenuse of a right-angled triangle are 20cm and 25cm respectively. What is the length of the base?

    -So again let us consider ABC, where angle B = 90 degree

    AB= 20cm

    AC= 25cm

    Hence by Pythagoras theorem,

    (AB)^2 +(BC)^2= (AC)^2

    Now, putting the values,

    or, 20^2 + (BC)^2 = 25^2

    or, (BC)^2 = 625-400

    or BC = √225

    or, BC = 15

    Hence, BC is equal to 15. So the length of the 15cm

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