SZF IOM · Mathematics

Triangles

Congruence, similarity, Pythagoras theorem, basic proportionality theorem.

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  • Q1 · Triangles · MEDIUM

    In triangle ABC, D is a point on BC such that AD is perpendicular to BC. If AB = 13 cm, AC = 15 cm and BC = 14 cm, what is the length of AD?

  • Q2 · Triangles · EASY

    In triangle PQR, if angle P = 90 degrees, PQ = 8 cm and QR = 17 cm, what is the length of PR?

  • Q3 · Triangles · MEDIUM

    In triangle ABC, DE is parallel to BC where D is on AB and E is on AC. If AD = 3 cm, DB = 6 cm and AE = 4 cm, what is the length of EC?

  • Q4 · Triangles · HARD

    Two triangles ABC and DEF are similar with AB = 6 cm, BC = 8 cm, AC = 10 cm and DE = 9 cm. If the ratio of their areas is k, what is the value of k?

  • Q5 · Triangles · EASY

    In triangle ABC, AB = 8 cm, BC = 15 cm, and AC = 17 cm. What type of triangle is ABC?

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