Answer available
Class 10 · Mathematics · Similarity
The corresponding sides of two similar triangles are in the ratio 3 : 5. Find the ratio of their areas.
3 marksMediumNumerical
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16 questions
- Answer available
Class 10 · Mathematics · Similarity
The areas of two similar triangles are in the ratio 16 : 25. The ratio of their corresponding sides is:
1 markMediumMCQ
- Answer available
Class 10 · Mathematics · 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.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, DE is parallel to BC. If AD = 4 cm, AB = 10 cm and DE = 6 cm, find BC.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Similarity
Assertion: all squares are similar to one another. Reason: in any two squares the corresponding angles are equal and the corresponding sides are proportional. State whether both are true and whether the reason explains the assertion.
2 marksMediumAssertion–reason
- Answer available
Class 10 · Mathematics · Similarity
Two similar triangles have areas 36 cm2 and 64 cm2. If the perimeter of the smaller is 27 cm, find the perimeter of the larger.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · 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.
4 marksHardStructured
- Answer available
Class 10 · Mathematics · Similarity
In triangle ABC the bisector of angle A meets BC at D. Prove that BD/DC = AB/AC.
4 marksHardStructured
- Answer available
Class 10 · Mathematics · 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.
4 marksHardApplication based
- Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, D and E are points on AB and AC such that DE is parallel to BC. If AD : DB = 2 : 3 and the area of triangle ADE is 16 cm2, find the area of triangle ABC.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Similarity
If two triangles are similar, their corresponding sides are:
1 markEasyMCQ
- Answer available
Class 10 · Mathematics · Similarity
State the conditions under which two triangles are said to be similar.
2 marksEasyShort answer
- Answer available
Class 10 · Mathematics · Similarity
A model of a building is made to a scale of 1 : 50. If the model is 30 cm tall and its floor covers 200 cm2, find the actual height of the building and the actual floor area.
3 marksMediumApplication based
- Answer available
Class 10 · Mathematics · 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.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, DE is parallel to BC with D on AB and E on AC. If AD = 3 cm, DB = 5 cm and AE = 4.5 cm, find EC.
3 marksMediumStructured
- Answer available
Class 10 · Mathematics · Similarity
The areas of two similar triangles are 81 cm2 and 49 cm2. If the longest side of the larger triangle is 27 cm, find the longest side of the smaller triangle.
3 marksMediumNumerical