The Converse Of Pythagoras. 14m 19m 23m Is the triangle right angled or not ? ©Microsoft Word clipart.

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The Converse Of Pythagoras. 14m 19m 23m Is the triangle right angled or not ? ©Microsoft Word clipart

What Is A Converse ? Consider the sentence below: Ifthe angles of the shape add up to 180 o Thenthe shape is a triangle. To make the converse statement swap around the parts of the statement in the white box: If the angles of the shape add up to 180 o Then the shape is a triangle. This is the converse statement.

Not all converse statements are true. Consider the sentence below: Ifa shape is a square Thenthe angles add up to 360 o Now make the converse statement. If a shape is a square.Then the angles add up to 360 o Can you think of a shape with angles of 360 o which is not a square ? Any closed quadrilateral.

What Goes In The Box ? Write the converse statement and decide if the converse of the statement is true or false. (1) If a shape is a square then the shape has parallel sides. (2) If a number is even then the number divides by two exactly. (3) If you have thrown a double six with a dice then your score with the dice is twelve. (4) If you have thrown a three and a four then your total score is seven with a dice. False True False

The Converse Of Pythagoras. The Theorem Of Pythagoras states: Ifa given triangle is right angled Thena 2 + b 2 = c 2 for a triangle. Write the converse statement. Ifa 2 + b 2 = c 2 for a triangle. a given triangle is right angledThen This converse is true and allows us to find right angled triangles.

Testing For A Right Angled Triangle. Is the triangle below right angled ? 6m 8m 10m (1) Which side is the longest side ? 10m (2) Add the sum of the squares of the two shorter sides (3) Square the longest side separately (4) Are the two calculations equal to each other? = =100 yes As = 10 2 then by the converse of Pythagoras the triangle is right angled.

Is the triangle below right angled ? (1) Which side is the longest side ? 11.5 (2) Add the sum of the squares of the two shorter sides (3) Square the longest side separately (4) Are the two calculations equal to each other? = = yes As = then by the converse of Pythagoras the triangle is right angled.

Is the triangle below right angled ? (1) Which side is the longest side ? 14.5 (2) Add the sum of the squares of the two shorter sides (3) Square the longest side separately (4) Are the two calculations equal to each other? = = No. As  then by the converse of Pythagoras the triangle is not right angled.

What Goes In The Box ? 2. Use the converse of Pythagoras to determine if these triangles are right angled or not. (1) (2) (3) (4) Yes No Yes No