Two triangles, MNO and XYZ are given similar with the ratio of their side as 9 : 4. If the area of the larger triangle is 243 sq. cm, then the area of the smaller triangle will be:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 48 sq.cm.
Given that
Two triangles, MNO and XYZ, are similar.
The ratio of their side = 9 : 4
If the area of the larger triangle is 243 sq.cm
Formula used
The ratio of areas = The squares of the corresponding sides of the triangles
Calculation
The area of the smaller triangle/The area of the larger triangle = (Smaller side/Larger side)2
The area of the smaller triangle/243 = (4/9)2
The area of the smaller triangle = 16 × 243/81 = 48 cm2