Mathematics
Name the types of the following triangles:
(i) ΔABC with AB = 8 cm, AC = 7 cm and BC = 5.5 cm.
(ii) ΔPQR with PQ = RP = 5 cm and QR = 7.3 cm.
(iii) ΔDEF with ∠D = 90°.
(iv) ΔXYZ with ∠Y = 90° and XY = YZ.
(v) ΔLMN with ∠L = 30°, ∠M = 70° and ∠N = 80°.
Triangles
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Answer
(i) In ΔABC, AB = 8 cm, AC = 7 cm and BC = 5.5 cm.
Since all three sides are different,
∴ ΔABC is a scalene triangle.
(ii) In ΔPQR, PQ = RP = 5 cm and QR = 7.3 cm.
Since two sides (PQ and RP) are equal,
∴ ΔPQR is an isosceles triangle.
(iii) In ΔDEF, ∠D = 90°.
Since one angle is a right angle,
∴ ΔDEF is a right-angled triangle.
(iv) In ΔXYZ, ∠Y = 90° and XY = YZ.
Since one angle is a right angle and two sides are equal,
∴ ΔXYZ is an isosceles right-angled triangle.
(v) In ΔLMN, ∠L = 30°, ∠M = 70° and ∠N = 80°.
Since all three angles are less than 90° (all acute), and all are different,
∴ ΔLMN is an acute-angled triangle.
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