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Name the triangles: a) d) In RST, RS = ST = TR. If RS = 9 cm, find the perimeter. b) LMN is an isosceles triangle. LM = 6 cm and MN = 4 cm. What is the length of NL? The perimeter of ABC is 17 cm. What is the length of CA?

Mathematics

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Step-by-step solution

3 steps
  1. Analyze triangle a).

    The angles given are 90∘90^\circ, 60∘60^\circ, and 30∘30^\circ. Since one angle is exactly 90∘90^\circ, this is a right-angled triangle.

  2. Analyze triangle b).

    The angles given are 100∘100^\circ, 45∘45^\circ, and 35∘35^\circ. Since one angle (100∘100^\circ) is greater than 90∘90^\circ, this is an obtuse-angled triangle.

  3. Analyze triangle c).

    The angles given are 80∘80^\circ, 60∘60^\circ, and 40∘40^\circ. Since all angles are less than 90∘90^\circ, this is an acute-angled triangle.

    a) The triangle is a right-angled triangle.

    b) The triangle is an obtuse-angled triangle.

    c) The triangle is an acute-angled triangle.

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