Question

Rhombus QRST
has diagonal lines QS¯¯¯¯¯¯¯
and RT¯¯¯¯¯¯¯
that intersect at U
. If QS¯¯¯¯¯¯¯=30
and RT¯¯¯¯¯¯¯=16
, what is the length of one of the sides of the rhombus?(1 point)
Responses

17
17

14
14

34
34

46
46
Skip to navigation

Answer 1

Diagonals of a rhombus bisect each other at right angles, so each side is the hypotenuse of a right triangle with legs 30/2 = 15 and 16/2 = 8.
Side = sqrt(15^2 + 8^2) = sqrt(225 + 64) = sqrt(289) = 17.