Question

Construct a triangle similar to a given triangle pqr with its side equal to 2/3 of the corresponding sides of the triangle pqr. (scale factor 2/3 < 1 ).

Answer 1

Given : triangle pqr

To Find : construct a triangle with its side equal to 2/3 of the corresponding sides of the triangle pqr.

Solution:

Step 1 :  Draw a triangle PQR

Step 2 :  draw a ray PX with ∠QPX acute angle at  P on PQ

Step 3 :  Take three points at equal distance on ray PX

Step 4 : join 3rd point with Q

Step 5 : Draw a line parallel to line segment drawn in step 4 passing through 2nd point on PX  and intersecting PQ at Q'

Step 6 : Draw a line parallel to QR and passing through Q' and intersect PR at R'

ΔPQ'R'  ≈ ΔPQR

ΔPQ'R'  side equal to 2/3 of the corresponding sides of the triangle pqr

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Answer 2

Step-by-step explanation:

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