2026 · Q69
If two similar scalene triangles ABC and PQR have the same area, then which of the following statements is/are correct?
- IBoth the triangles are congruent.
- IIBoth the triangles have equal perimeters. Select the answer using the code given below :
Elementary MathematicsGeometry: Lines, Angles and Triangles
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
Two similar triangles with equal areas have similarity ratio √(area ratio) = 1, so all corresponding sides are equal — the triangles are congruent (statement I correct). Congruent triangles have equal perimeters (statement II correct). Hence both statements, option C.