Answer:
The measure of side BC = 5 unit and The measure of side AC = 5 unit
Step-by-step explanation:
Given as :
In a triangle ΔABC
The measure of side = AB = 5 unit
The measure of angle A = ∠A = 45°
The measure of angle C = ∠C = 30°
Now, For a triangle the sum of three angles of triangle = 180°
∴, ∠A + ∠B + ∠C = 180°
Or, 45° + ∠B +30° = 180°
Or , ∠B = 180° - ( 45° + 30°)
Or, ∠B = 180° - 75°
i.e ∠B = 105°
<u>Now, From figure </u>
Sin 45° =
Or, =
Or, BC =
∴ BC = 5
So, The measure of side BC = 5 unit
<u>Again , from figure</u>
Cos 45° =
Or, =
Or, AC =
∴ AC = 5
So, The measure of side AC = 5 unit
Hence The measure of side BC = 5 unit and The measure of side AC = 5 unit Answer