Triangle ABC similar to triangle DEF construct ABC such that AB=5.2cm BC=4.6cm and angle B is 45digeri and BC by EF =2/3,construct Triangle DEF
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Given:
Δ ABC is similar to Δ DEF
AB = 5.2cm
BC = 4.6cm
∠ABC = 45°
BC/EF = 2/3
To find:
Construct triangle ΔDEF
Solution:
AB/DE = BC/EF = AC/DF = 2/3
BC/EF = 2/3
EF = 3/2 * 4.6
EF = 6.9cm
AB/DE = 2/3
DE = 3/2 * 5.2
DE = 7.8 cm
∠ABC = 45° =∠DEF
Construction of Triangle ΔDEF:
- Step 1: Draw a base EF of length 7.8 cm
- Step 2: Draw a line from E at an angle of 45° using a protractor.
- Step 3: With a ruler measure 7.8 cm on line E and mark it as D.
- Step 4: Join DF
Hence, ΔDEF is constructed.
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