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In the 30-60-90 triangle below, side shas a length of
length of
and side has a
301
909
O A. 412,42
OB. 8-/5, 16
O C. 165, 16V
D. 16 5,5
O E. 4,4V
O F. A, B13


In The 306090 Triangle Below Side Shas A Length Of Length Of And Side Has A 301 909 O A 41242 OB 85 16 O C 165 16V D 16 55 O E 44V O F A B13 class=

Sagot :

Answer:

[tex] s = 4, \: q = 4 \sqrt{3} [/tex]

Step-by-step explanation:

In a 30°-60°-90° triangle, measure of side opposite to 30° angle is half of hypotenuse.

[tex]s = \frac{1}{2} \times 8 \\ \\ s = 8 [/tex]

In a 30°-60°-90° triangle, measure of side opposite to 60° angle is [tex] \frac{\sqrt 3}{2} [/tex] times of hypotenuse.

[tex] q = \frac{ \sqrt{3} }{2} \times 8 \\ \\ q = 4 \sqrt{3} [/tex]