Similar triangles, Basic Proportionality Theorem, Pythagoras theorem and converse, area ratios.
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Q1 · Triangles (Class 10) · EASY
In a triangle ABC, if ∠A = 60° and ∠B = 70°, then what is ∠C?
Q2 · Triangles (Class 10) · HARD
In triangle ABC, DE is parallel to BC where D and E are points on AB and AC respectively. If AD = 3 cm, DB = 6 cm, and AE = 4 cm, then what is the length of EC?
Q3 · Triangles (Class 10) · MEDIUM
Two triangles are similar if their corresponding angles are:
Q4 · Triangles (Class 10) · HARD
In triangle ABC, DE is parallel to BC where D and E lie on AB and AC respectively. If AD = 4 cm, DB = 6 cm, and BC = 15 cm, then the length of DE is:
Q5 · Triangles (Class 10) · EASY
In triangle ABC, DE is parallel to BC and divides sides AB and AC in the ratio 2:3. If BC = 15 cm, then the length of DE is: