The areas of two similar triangles ABC and PQR are 64 cm2 and 144 cm2, respectively. If the greatest side of the smaller ΔABC is 24 cm, then what is the greatest side of the biggerΔPQR?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 36 cm.
According to the question
Let the greatest side of the bigger △PQR be y
The greatest side of the smaller △ABC = 24cm
The ratio of the area of triangles = 64 : 144
As we know that
The ratio of the area of triangles = (ratio of sides of the triangles)2
⇒ 64/144 = (24/y)2
⇒ 8/12 = 24/y
⇒ y = 36 cm
Thus,
The greatest side of the bigger △PQR is 36 cm.