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26 April, 06:25

8) Sandy tells you that she drew a right triangle with the side lengths of 8.4 cm, 14 cm, and 11.2 cm.

Is she correct? Explain why or why not. Show your work.

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  1. 26 April, 09:59
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    Yes, she can drew a right triangle with these sides

    Step-by-step explanation:

    To answer this question we first have to prove the Pythagorean theorem

    h = hyoptenuse

    a = leg 1

    b = leg2

    h² = a² + b²

    We have to replace the values that they gave us in this formula

    The hypotenuse always has to be the longest side of a right triangle

    (14cm) ² = (11.2cm) ² + (8.4cm) ²

    196cm² = 125.44cm² + 70.56cm²

    196cm² = 196cm²

    As we can see, equality is fulfilled, so she is correct
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