sujal makes the sail of his model in the shape of a triangle with sides 5cm,4cm and 6cm which criteria of similarity did sujal used pls help me
Answers
Given : Sujal makes the sail of his model in the shape of a triangle with sides 5cm, 4 cm and 6 cm for actual size of 10 m , 8 m and 12 m
pole in the actual boat is of length 9m
To Find : Which criteria of similarity used
what will be the length of the pole in the model?
Solution:
criteria of similarity used is SSS ( Side - Side - Side )
10 m / 5 cm = 9 m / x cm
=> x = 4.5 cm
length of the pole in the model = 4.5 cm
Ratio 5 cm : 10 m
5 cm = 1000 cm
1 : 200
Ratio of corresponding median is same as ratio of corresponding sides for similar triangles
Corresponding medians of these triangles are in the ratio = 1 : 200
if square of one side is equal to the sum of the squares of the other two
sides, then the angle opposite the first side is a right angle This theorem is called as Converse of Pythagoras theorem
ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides
ratio of areas of the triangular sail of the model and of the actual boat
= 1² : 200²
= 1 : 40000
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