Mathematics
Name the following triangles with regards to angles:
Triangles
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Answer
(i) In triangle ABC, ∠A = 40°, ∠B = 90° and ∠C = 50°.
Since one angle (∠B) is a right angle,
∴ Triangle ABC is a right-angled triangle.
(ii) In triangle PQR, ∠P = 25°, ∠Q = 35° and ∠R = 120°.
Since one angle (∠R) is greater than 90° (obtuse),
∴ Triangle PQR is an obtuse-angled triangle.
(iii) In triangle XYZ, ∠X = 59°, ∠Y = 65° and ∠Z = 56°.
Since all three angles are less than 90° (acute),
∴ Triangle XYZ is an acute-angled triangle.
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Related Questions
In the figure given below, line l is perpendicular to line m.
(a) Is CE = EG?
(b) Does bisect segment ?
(c) Identify any two line segments for which is the perpendicular bisector.
(d) Are these true?
(i) AC > FG
(ii) CD = GH
(iii) BC < EG
Name the following triangles with regards to sides:
Name each of the following triangles in two different ways (you may judge the nature of the angle by observation):
Match the following:
Measures of triangles Types of triangles (i) 3 sides of equal length (a) Scalene (ii) 2 sides of equal length (b) Isosceles right-angled (iii) all sides of different length (c) Obtuse-angled (iv) 3 acute angles (d) Right-angled (v) 1 right angle (e) Equilateral (vi) 1 obtuse angle (f) Acute-angled (vii) 1 right angle with two sides of equal length (g) Isosceles