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26 June, 08:20

Which set of angle measures can be used to construct an acute scalene triangle?

a) 36º. 57º. 870

b) 46°, 67°, 67°

c) 369, 479 970

d) 46° 57°, 67°

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  1. 26 June, 08:36
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    d) 46° 57°, 67°

    Step-by-step explanation:

    Acute scalene triangle : A triangle in which all three angles less than 90° and all three angles are different measurements.

    a) 36º, 57º, 870º

    Since one angle is more than 90º

    So, It is not an acute scalene triangle.

    b) 46°, 67°, 67°

    Since all three angles less than 90° but all three angles are not different measurements.

    So, It is not an acute scalene triangle.

    c) 369°, 479°, 970 °

    Since all angles are more than 90º

    So, It is not an acute scalene triangle.

    d) 46° 57°, 67°

    Since all three angles less than 90° and all three angles are different measurements.

    So, It is an acute scalene triangle.

    So, Option d is set of angle measures can be used to construct an acute scalene triangle
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