19. Anu is very intelligent in Maths. She always try to relate to cross a river and want to know how the concept of Maths in far it is to the river and make the drawing daily life. One day other side. she plans She takes measurements on her side of the as shown below: 60 ft 40 ft (1) Which similarity criterion is used in solving the above problem (a) SAS similarity criterion (b) AA similarity criterion (c) SSS similarity criterion (d) none of these
Answers
Answer:
1) AA similarty criteria
2) only s1
3) 48
4) only s3
5)163
Given : measurements of river on her side is shown in figure
To Find : Which similarity criterion is used in solving the above problem (
Solution:
ΔABC and ΔDEC
∠ACB = ∠DCE Vertically Opposite angles
∠ABC = ∠DEC = 90°
=> ΔABC ~ ΔDEC AA similarity criterion
AA similarity criterion is correct answer
Angle-Angle Similarity (AA~) Theorem
If two angles of one triangle and two angles of another triangle have the same measures, then the triangles are similar.
∠ACB = ∠DCE
∠BAC ≠ ∠CED
only S₁ is correct
x/60 = 40/50
=> x = 48
AB/ DE = BC/CE = AC/DC
S₁ correct S₂ not correct S₃ not correct
S₁ correct
AB = 80 , BC = 60
AC² = AB² + BC² => AC = 100 ft
AD = AC + CD = 100 + 63 = 163 ft
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