Question

Draw a triangle ABC in which AB4 cm, BC- 6 cm and AC - 9 cm. Construct a triangle similar to triangle ABC with scale factorJustify the construction. Are the two triangles congruent? Note:that all the three angles and two sides of the 3 two triangles are equal.

Answer 1

let triangle PQR ~ triangle ABC

Geometrical Annalyse

angleP = angleA.

angle Q =angle B. .....angles of similar

angle R ~ angle C. triangles

side AB ~ side PQ

side BC ~ side QR

side AC ~ side PR

let the ratio in of similar triangle be

1:

therefore, AB:PQ=1:2

therefore triangle PQR is bigger triangle

AB:PQ=BC:QR=AC:PR=1:2

PQ = 8 CM

QR = 12 cm

PR = 18 cm

Triangle ABC ~triangle PQR