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Lv 7
? asked in Science & MathematicsMathematics · 1 year ago

Can the side lengths of the two triangles be found?

Two triangles having integer side lengths have areas 

equalling 150 units^2 and 96 units^2.

1 Answer

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  • Wayne DeguMan
    Lv 7
    1 year ago

    In the diagram of the question you are refering to I assumed the triangles were similar.

    Hence, area scale factor is 25/16

    i.e. linear scale factor is 5/4

    For the smaller triangle I have base x height = 192

    For the larger triangle I have base x height = 300

    so, I'm looking at factors of 192 and 300 in the ratio 4 : 5

    :)>

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