To find AC, we can use the Law of Sines which states:
a/sinA = b/sinB = c/sinC
Where:a, b, c are the side lengths of the triangleA, B, C are the angles opposite to the respective sides
In this case, we have side AB = 10 cm and angle B = 72°. We need to find side AC.
Let's denote side AC as c, then we have:
10/sin72° = c/sin(180°-72°-C)
Now, we can find angle C using the fact that the sum of angles in a triangle is 180°:
C = 180° - 72° - 36° = 72°
Substitute the values back into the equation:
10/sin72° = c/sin72°
c = 10
Therefore, AC = 10 cm.
To find AC, we can use the Law of Sines which states:
a/sinA = b/sinB = c/sinC
Where:
a, b, c are the side lengths of the triangle
A, B, C are the angles opposite to the respective sides
In this case, we have side AB = 10 cm and angle B = 72°. We need to find side AC.
Let's denote side AC as c, then we have:
10/sin72° = c/sin(180°-72°-C)
Now, we can find angle C using the fact that the sum of angles in a triangle is 180°:
C = 180° - 72° - 36° = 72°
Substitute the values back into the equation:
10/sin72° = c/sin72°
c = 10
Therefore, AC = 10 cm.