List - I List - II A. Equilateral Triangle I. A triangle with angle A = 70°, angle B = 60° and angle C = 50° B. Isosceles Triangle II. One angle of the triangle is 130° C. Acute Angle Triangle III. A triangle with each side being 5 cm D. Obtuse Angle Triangle IV. A triangle with sides 4 cm, 6 cm and 6 cm
Choose the correct answer from the options given below :
Matching Triangle Types to Descriptions
The question requires matching different types of triangles based on their side lengths and angle measures.
Understanding Triangle Types
- Equilateral Triangle: A triangle where all three sides are equal in length.
- Isosceles Triangle: A triangle where at least two sides are equal in length.
- Acute Angle Triangle: A triangle where all three internal angles measure less than 90°.
- Obtuse Angle Triangle: A triangle where one internal angle measures greater than 90°.
Step-by-Step Matching
Equilateral Triangle (A)
An equilateral triangle has all sides equal. List - II, item III describes "A triangle with each side being 5 cm". This fits the definition.
Match: A - III
Isosceles Triangle (B)
An isosceles triangle has two equal sides. List - II, item IV describes "A triangle with sides 4 cm, 6 cm and 6 cm". Since two sides are equal (6 cm), this is an isosceles triangle.
Match: B - IV
Acute Angle Triangle (C)
An acute angle triangle has all angles less than 90°. List - II, item I describes "A triangle with angle A = 70°, angle B = 60° and angle C = 50°". All angles (70°, 60°, 50°) are less than 90°.
Match: C - I
Obtuse Angle Triangle (D)
An obtuse angle triangle has one angle greater than 90°. List - II, item II describes "One angle of the triangle is 130°". Since 130° > 90°, this fits the definition.
Match: D - II
Final Correct Matching
Based on the definitions and the descriptions provided:
- A. Equilateral Triangle matches with III (All sides equal).
- B. Isosceles Triangle matches with IV (Two sides equal).
- C. Acute Angle Triangle matches with I (All angles < 90°).
- D. Obtuse Angle Triangle matches with II (One angle > 90°).
The correct option is the one that reflects this matching: A-III, B-IV, C-I, D-II.
Similar Questions
- Match List - I with List - II.
List - I List - II A. Obtuse Angle I. 180° B. Straight Angle II. 360° C. Reflex Angle III. Angle between 90° and 180° D. Complete Angle IV. Angle between 180° and 360°
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Important Questions from Geometry (Notes)
- Which of the following is not true for a parallelogram?
- A 6 cm long chord of a circle is at a distance of 4 cm from the centre of the circle. Find the distance of 8 cm long chord of the same circle from the centre.
- The length of major axis and coordinate of vertices for the ellipse $3x^2 + 2y^2 = 6$ respectively are:
- If the line through (3, y) and (2, 7) is parallel to the line through (-1, 4) and (0,6), then the value of y is:
- The points (K, 2 – 2K), (-K +1,2K) and (-4-K, 6-2K) are collinear if:
(A) K = $\frac{1}{2}$
(B) K = $-\frac{1}{2}$
(C) K = $\frac{3}{2}$
(D) K = -1
(E) K = 1
Choose the correct answer from the options given below:
