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Construct a triangle, BC = 8 cm, angle B = 90 deg and AB + AC = 13.5 cm

Is the diagram required? If yes, then I'm sorry.
If u don't draw diagram also it's ok just give steps


Step 1: Draw a line segment BC of 8 cm.
Step 2: Draw angle B= 90 degrees.
Step 3: With B as centre and radius 13.5 cm, draw an arc which intersects BX at D.
Step 4: Join D to A.
Step 5: Draw the perpendicular bisectors of segment DA. It intersects the line segment BD at point C.
Step 6: Join C to A.

Thus, triangle ABC is the required triangle.

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