Question Text: A teacher asked her students to construct a quadrilateral ABCD with AB = 12 cm, BC = 9 cm, ∠A = 60°, ∠B = 105° and ∠C = 105°. A student performed the following steps of construction.Step 1: Draw AB = 12 cm.Step 2: Taking B as the centre, draw ∠ABE = 105°.Step 3: Taking A as the centre and radius equal to 9 cm, draw an arc intersecting BE at C.Step 4: Taking A as the centre, draw ∠BAF = 105°.Step 5: Taking C as the centre, draw ∠BCG = 60°.The student made an error while constructing the quadrilateral. In which step did the student make the first error? *
Answers
Answer:
Step-by-step explanation:
A teacher asked her students to construct a quadrilateral ABCD with AB = 12 cm, BC = 9 cm, ∠A = 60°, ∠B = 105° and ∠C = 105°. A student performed the following steps of construction.Step 1: Draw AB = 12 cm.Step 2: Taking B as the centre, draw ∠ABE = 105°.Step 3: Taking A as the centre and radius equal to 9 cm, draw an arc intersecting BE at C.Step 4: Taking A as the centre, draw ∠BAF = 105°.Step 5: Taking C as the centre, draw ∠BCG = 60°.The student made an error while constructing the quadrilateral. In which step did the student make the first error? *
Answer:
Step-by-step explanation:
Take BC as a base =4.5cm
Draw a ray at C making angle 90
Draw ray at B making angle 105
Take a distance =5cm on the ray from point B mark it as A
Make a ray at the point A making angle 60