In ΔXYZ, y = 75 cm, z = 83 cm and ∠X=157°. Find the length of x, to the nearest centimeter.

Question

In ΔXYZ, y = 75 cm, z = 83 cm and ∠X=157°. Find the length of x, to the nearest centimeter.

in progress 0
Thu Nguyệt 4 years 2021-08-05T16:52:06+00:00 1 Answers 52 views 0

Answers ( )

  1. Sapo1
    0
    2021-08-05T16:53:48+00:00
    Reply

    Answer:

    x = 155 cm

    Step-by-step explanation:

    The Law of Cosines

    It relates the length of the sides of a triangle with one of its internal angles.

    Let x,y, and z be the length of the sides of a given triangle, and X the included angle between sides y and z, then the following relation applies:

    x^2=y^2+z^2-2yz\cos X

    It’s given: y=75 cm, z=83 cm, and m\angle X=157 °
    . Applying the formula:

    x^2=75^2+83^2-2*75*83\cos 157^\circ

    Calculating:

    x^2=5625+6889-12450(-0.9205)

    x^2=23974.225

    x=\sqrt{23974.225}

    x = 155 cm

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )