14. Director of Education plans to visit a school. The girls have decided to prepare a Rangoli in triangular shape (as AABC) with dimensions 24 cm, 26 cm, 28 cm. Garland is to be placed along the side of APQR which is formed by joining midpoints of sides of AABC.
1)What is the ratio of length of Garland to length of Rangoli ?
Answers
Answer:
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Given Dimensions of A ABC are 26 cm, 28cm, 25cm
Garland is to be placed along the side of APQR which is formed by joining midpoints of sides A ABC
To Find : length of the garland
Solution:
APQR is formed by joining midpoints of sides A ABC
line joining the mid-point of two sides of a triangle is equal to half the length of the third side
Hence the length of PQ, QR and PR are the Half of the sides of the triangle ABC so perimeter of APQR = Perimeter of A
ABC /2
Perimeter of A ABC = AB + BC +AC = 26
+ 28 + 25 = 79
perimeter of APQR = 79/2 = 39.5 cm
length of the garland= perimeter of APQR
=> length of the garland = 39.5 cm