Question

Draw an isosceles ABC in which AB=AC=6cm and BC=5cm . Construct a PQR similar to ABC in which PQ=8cm . Also justify answer.

Answer 1

after that write justification

Answer 2

Given : an isosceles ΔABC in which AB=AC=6cm and BC=5cm

To Find : Construct Triangle

and similar triangle PQR with PQ = 8 cm

Solution:

Step 1 : Draw  a line segment BC  = 5 cm

Step 2 : Using compass width = 6 cm and taking  B as center draw an arc

Step 3 : Keeping compass width same taking C as center draw an arc intersecting arc drawn in previous step at A

Step 4 : Join AB  & AC

Draw  a line segment PQ  = 8 cm

Using suitable compass width Taking A as center draw an arc intersecting

AC at X & AB at Y

Keeping compass width same taking P as center Draw an arc intersecting PQ at M

open compass = XY and taking M as center intersect arc drawb in previous step at N

draw a ray PZ passing passing thorugh N

Take a length PR = 8 cm

Join QR

ΔPQR ≈ ΔABC

SAS criteria of similarity Used

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