Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > Worksheet Question & Answers : The Triangles and its properties
The Triangles and its properties Class 7 Worksheet Maths
Q.1. Which of the following figures will have its altitude outside the triangle?
View AnswerAns. C
Q.2. Fill up the blanks : (i) Every triangle has at least ................. acute angles.
(ii) The longest side of a right-angled triangle is called its ...............
(iii) Median is also called .................. in an equilateral triangle.
(iv) The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its.............
View AnswerAns. (i) 2
(ii) Hypotenuse
(iii) Altitude or Perpendicular bisector
(iv) Median
Q.3. If one angle of a triangle is 60° and the other two angles are in the ratio 1: 2, then find the angles.
View AnswerAns. 40°, 80°
Q.4. In figure find the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F
View AnswerAns. 360°
Q.5. Two poles of 8m and 14m stand upright on a plane ground. If the distance between the two tops is 10m.
Find the distance between their feet.
View AnswerAns. 8m
Q.6. Mohini walks 1200m due East and then 500m due North. How far is she from her starting point?
View AnswerAns. 1300 m
Q.7. Find the value of x and y. (i) Here CD || AB
(ii)
(iii)
(iv)
View AnswerAns. (i) x = 70° y = 70°
(ii) x = 120° y = 70°
(iii) x = 80° y = 75°
(iv) x = 80° y = 50°
Q.8. Find the value of x :
(i)
(ii)
(iii)
(iv)
View AnswerAns. (i) 30°
(ii) 80°
(iii) 30°
(iv) 28°
Q.9. ABC is an equilateral triangle with side a. AD is an altitude. Find the value of AD2.
View AnswerAns. AD2 =
Q.10. State whether the given statements are True or False :
(i) Sum of two sides of a triangle is greater than or equal to the third side.
(ii) The difference between the lengths of any two sides of a triangle is smaller than the length of third side.
(iii) Sum of any two angles of a triangle is always greater than the third angle.
(iv) It is possible to have a right-angled equilateral triangle.
View AnswerAns. (i) False
(ii) True
(iii) False
(iv) False
The document The Triangles and its properties Class 7 Worksheet Maths is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on The Triangles and its properties Class 7 Worksheet Maths
| 1. What are the different types of triangles based on their sides? |  |
Ans.Triangles can be classified based on their sides into three types: equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), and scalene triangles (all sides are of different lengths).
| 2. What are the different types of triangles based on their angles? | |
Ans.Triangles can also be classified based on their angles into three types: acute triangles (all angles are less than 90 degrees), right triangles (one angle is exactly 90 degrees), and obtuse triangles (one angle is greater than 90 degrees).
| 3. How can I calculate the area of a triangle? | |
Ans.The area of a triangle can be calculated using the formula: Area = 1/2 × base × height. You need to know the length of the base and the corresponding height to use this formula.
| 4. What is the Pythagorean theorem and how does it relate to right triangles? | |
Ans.The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It is expressed as a² + b² = c².
| 5. What are the properties of similar triangles? | |
Ans.Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are in proportion. This means if two triangles are similar, the ratio of their corresponding sides is constant.
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