Question

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7. Find the perimeter of the given triangle.
A-B=1 cm
B=90°,C=30°​

Answer 1

Answer:

3+√3 cm

Step-by-step explanation:

sin 30° = p/h = 1/h.

so, h = 2 cm

cos 30° = b/h = b/2

so, b = √3

so, perimeter = 3+√3 cm

Answer 2

Answer:

3 + √3 cm      or √3(√3 + 1) cm

Step-by-step explanation:

sin30° = AB/AC

     1/2 = 1/AC

     AC = 2

tan30° = AB/BC

   1/√3 = 1/BC

      BC = √3

Therefore,

perimeter = sum of all sides

            = AB + BC + AC

            = 1 + 2 + √3

            = 3 + √3  or √3(√3 + 1)