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9 February, 12:36

A) (Triangle) ABC, given that AB = 16 cm, BC = 63 cm and AC = 65 cm how do we find if it is a right angled

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  1. 9 February, 14:31
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    We can know if it is a right angled triangle by using the Pythagoras theorem (a²+b²=c²)

    Step-by-step explanation:

    To identify, we can take the largest length of the triangle as hypotanuse (that is, AC:65) And the rest as base and perpendicular (63 and 16 cm)

    By applying Pythagoras theorem,

    AB²+BC² = AC²; (63) ² + (16) ² = (65) ²

    63² is 3969, 16² is 256 ... 65² is 4225.

    Now, if 63²+16²:65² ... then the triangle mentioned is a right angled triangle.

    3969+256=4225

    LHS = RHS, So, triangle ABC is a right angled triangle as it satisfies the condition of Pythagoras theorem.
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