In isosceles △ABC (AC = BC) with base angle 30° CD is a median. How long is the leg of △ABC, if sum of the perimeters of △ACD an
d △BCD is 20 cm more than the perimeter of △ABC?
1 answer:
Answer:
20 cm.
Step-by-step explanation:
The perimeter of triangle
Since the sum of the perimeters of △ACD and △BCD is 20 cm more than the perimeter of △ABC, you have that
Consider right triangle ACD. In this triangle then the hypotenuse AC is twice the leg CD. Hence,
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