triangle ABC and triangle PQR are equilateral triangles .AB = 3 PQ area of triangle ABC = 18 cm².find area of triangle PQR
plz. find answer of this
Answers
Step-by-step explanation:
2cm² is the correct answer
Given : ABC and PQR are equilateral triangles. AB = 3 PQ.
Ar( ΔABC) = 18 cm²
To Find : Ar (ΔPQR)
Solution:
ABC and PQR are equilateral triangles
Equilateral triangle has all sides equal
All equilateral triangles are similar to each other
For similar triangle ratio of area of triangles = ( ratio of corresponding sides)²
=> Ar (ΔPQR) / Ar( ΔABC) =(PQ/AB)²
AB = 3 PQ
=> PQ/AB = 1/3
=> Ar (ΔPQR) / 18 = (1/3)²
=> Ar (ΔPQR) = 18/9
=> Ar (ΔPQR) = 2 cm²
Ar (ΔPQR) = 2 cm²
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