2 years ago

In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.

Mathematics

1 answer:

slamgirl [31]2 years ago

3 0

Answer:

EB ≈ 1.563 in

Step-by-step explanation:

The diagonals of a rhombus divide the figure into four congruent right triangles. Angle DAB is bisected by EA, so angle EAB is 46°/2 = 23°. EB is the side opposite, so the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(EAB) = EB/AB

EB = (4 in)sin(23°) . . . . . . multiply by the hypotenuse

EB ≈ 1.563 in

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