Given the right triangle ABC with right angle B, angle A is twice the size of angle C. If the measure of side AB is 7 units, what is the measure of side AC?
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Given : the right triangle ABC with right angle B, angle A is twice the size of angle C. the measure of side AB is 7 units,
To Find : the measure of side AC
Solution:
Let say ∠C = x°
=> ∠A = 2x°
∠B = 90° given
∠A + ∠B + ∠C = 180° ( sum of angles of a triangle )
=> 2x° + x° +90° = 180°
=> 3x° = 90°
=> x° = 30°
∠C = 30°
Sin∠C = AB/AC
=> Sin30° = AB/AC
AB = 7 units
=> 1/2 = 7/AC
=> AC = 14 units
measure of side AC is 14 units
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