Question

construct a triangle ABC in which BC=5cm, angle B= 30° and angle C = 67.5°.

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Answer 1

Step-by-step explanation:

so we know the triangle has a total of 180 degree so the angle A must be equal to 82.5 °

Answer 2

Step-by-step explanation:

Steps of construction:

Step 1: Draw a line segment BC of length 5 cm.

Step 2: Draw an angle of 60° taking B as centre and bisect it. We'll obtain an angle of 30°.

Step 3: Draw an angle of 90° and bisect it by taking C as centre. We'll obtain an angle of 45°.

Step 4: Now, bisect 45° and 90°. We'll obtain an angle of 67.5°. Mark the intersection point as A.

∴ △ABC is the required triangle.