If two triangles are similar, their corresponding sides are:
Similarity
Original Khojo Papers practice question — not from a past board paper.
Two triangles are similar if their corresponding angles are equal and their corresponding sides are in the same ratio. In practice it is enough to show that two pairs of corresponding angles are equal, or that all three pairs of corresponding sides are proportional, or that two pairs of sides are proportional and the angles between them are equal.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
These are the AA, SSS and SAS criteria for similarity.
From the same topic and chapter, at a similar level.
If two triangles are similar, their corresponding sides are:
Similarity
A vertical pole 6 m high casts a shadow 4 m long on the ground. At the same time a tower casts a shadow 28 m long. Find the height of the tower.
Similarity
The corresponding sides of two similar triangles are in the ratio 3 : 5. Find the ratio of their areas.
Similarity
In triangle ABC, right angled at B, BD is the perpendicular from B to AC. Prove that triangle ADB is similar to triangle ABC, and hence show that AB2 = AD × AC.
Similarity
The areas of two similar triangles are 81 cm2 and 49 cm2. If a side of the larger triangle is 27 cm, find the corresponding side of the smaller.
Similarity
Two similar triangles have perimeters 30 cm and 45 cm. If a side of the smaller triangle is 8 cm, find the corresponding side of the larger triangle.
Similarity