Dano ABC, C= 90° A= 60°AB=5корень из 3найти ВС и АС

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вопрос

To find the lengths of BC and AC, we will use the sine and cosine trigonometric ratios.

Given:
Angle C = 90°
Angle A = 60°
Side AB = 5√3

First, let's find the length of side BC (opposite angle A):

sin(60°) = BC / AB
sin(60°) = BC / 5√3
BC = 5√3 sin(60°)
BC ≈ 5 0.866
BC ≈ 4.33

Next, let's find the length of side AC (opposite right angle C):

cos(60°) = AC / AB
cos(60°) = AC / 5√3
AC = 5√3 cos(60°)
AC ≈ 5 0.5
AC ≈ 2.50

Therefore, the length of side BC is approximately 4.33 and the length of side AC is approximately 2.50.