RATIO OF THE SIDES OF SIMILAR TRIANGLE
18. A triangle PQR with sides 3cm 4cm and Scm is shown
Triangle A triangle B and triangle C are all similar to triangle APOR.
41-4 42
(4) Which can be used to determine the base of triangle B?
(M) $:$
6 5:3
) Which is can be used to determine the hypotense of triangle B?
Which ratio can be used to determine the hypotenus of triangle A!
() 4.5
() 23cm, 25cm
(4) The unknown lengths of triangle Aure
() 25,2 cm
(6) The new length of triangle Cure
6.8 cm, 44 cm
(M) 4 cm, 2cm
Case Study based - 3
Answers
Given : A triangle PQR with sides 3 cm, 4 cm and 5 cm is shown.
Triangle A, triangle B and triangle C are all similar to triangle PQR.
To Find : (a) Which ratio can be used to determine the base of triangle B?
(ü) 3:4
(ii) 4:5
( 5:3
(iv) 5:5
Solution:
ΔPQR ~ Δ in B
Two triangles are similar if their corresponding angles are congruent, and the corresponding sides are in proportion.
in triangle B , perpendicular leg is given
Hence ratio of corresponding sides = 4/5
Base need to be find
Let say Base = x
Then 4/5 = 3/x
Hence 4: 5 ratio can be used
x = 15/4 = 3.75 cm
4: 5 ratio can be used
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