Class 7 Exam  >  Class 7 Notes  >  Mathematics (Maths) Class 7  >  Worksheet Question - 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.

The Triangles and its properties Class 7 Worksheet Maths

The Triangles and its properties Class 7 Worksheet Maths

The Triangles and its properties Class 7 Worksheet Maths

The Triangles and its properties Class 7 Worksheet Maths

Ans. 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.............

Ans. (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.

Ans. 40°, 80°

Q.4. In figure find the vlue of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F

The Triangles and its properties Class 7 Worksheet Maths

Ans. 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. 

Ans. 8m

Q.6. Mohini walks 1200m due East and then 500m due North. How far is she from her starting point? 

Ans. 1300 m

Q.7. Find the value of x and y. (i) Here CD || AB 

The Triangles and its properties Class 7 Worksheet Maths

(ii)

The Triangles and its properties Class 7 Worksheet Maths

(iii)

The Triangles and its properties Class 7 Worksheet Maths

(iv)

The Triangles and its properties Class 7 Worksheet Maths

Ans. (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)

The Triangles and its properties Class 7 Worksheet Maths

(ii)

The Triangles and its properties Class 7 Worksheet Maths

(iii)

The Triangles and its properties Class 7 Worksheet Maths

(iv)

The Triangles and its properties Class 7 Worksheet Maths

Ans. (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.

The Triangles and its properties Class 7 Worksheet Maths

Ans. AD2 =The Triangles and its properties Class 7 Worksheet Maths

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.

Ans. (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?
Ans. There are several types of triangles based on their sides and angles: - Equilateral triangles have all sides and angles equal. - Isosceles triangles have two sides and two angles equal. - Scalene triangles have all sides and angles unequal. - Acute triangles have all angles less than 90 degrees. - Obtuse triangles have one angle greater than 90 degrees.
2. How can I calculate the area of a triangle?
Ans. The formula to calculate the area of a triangle is (base * height) / 2. You need to know the length of the base and the perpendicular height to the base to apply this formula. Multiply the base length by the height, and then divide the result by 2 to get the area.
3. What is the Pythagorean theorem and how does it relate to triangles?
Ans. The Pythagorean theorem states that in a right-angled 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 other two sides. This theorem is widely used to solve problems involving right triangles and their side lengths.
4. Can you have a triangle with all angles equal to 90 degrees?
Ans. No, a triangle cannot have all angles equal to 90 degrees. A triangle with all angles equal to 90 degrees is called a right triangle, and it can have at most one right angle. If all three angles of a triangle are equal to 90 degrees, it would form a straight line, not a closed shape.
5. How can I determine if two triangles are similar?
Ans. Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. This means that the ratio of the lengths of corresponding sides in the two triangles should be the same. If the angles are equal but the sides are not proportional, the triangles are not similar. Similar triangles have the same shape but can be different in size.
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