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 vlue 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 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) 80
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 angles? |  |
Ans. Triangles can be classified into three types based on their angles: acute triangles (all angles less than 90 degrees), obtuse triangles (one angle greater than 90 degrees), and right triangles (one angle equals 90 degrees).
| 2. How can you find the area of a triangle? | |
Ans. The area of a triangle can be calculated using the formula: Area = 1/2 * base * height, where the base is the length of the bottom side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.
| 3. What is the Pythagorean theorem and how is it related to 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. This theorem is commonly used to solve for unknown side lengths in right triangles.
| 4. How can you determine if a triangle is equilateral, isosceles, or scalene? | |
Ans. An equilateral triangle has all three sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length. You can determine the type of triangle based on the lengths of its sides.
| 5. What is the interior angle sum of a triangle? | |
Ans. The interior angles of a triangle always add up to 180 degrees. This property is known as the angle sum property of triangles and can be used to find the measure of unknown angles in a triangle.
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