The document Worksheet Question - The Triangles and its properties Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.

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**Q.1. Which of the following figures will have its altitude outside the triangle.**

**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 60Â° and the other two angles are in the ratio 1 : 2, then find the angles.**

**Ans. **40Â°, 80Â°

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

**Ans. **360Â°

**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 **

**(ii)**

**(iii)**

**(iv)**

**Ans. **(i) x = 70Â° y = 70Â°

(ii) x = 120Â° y = 70Â°

(iii) x = 80Â° y = 75Â°

(iv) x = 80Â° y = 50Â°

**Q.8. Find the value of x : **

**(i)**

**(ii)**

**(iii)**

**(iv)**

**Ans. **(i) 30

(ii) 80Â°

(iii) 30

(iv) 80

**Q.9. ABC is an equilateral triangle with side a. AD is an altitude. Find the value of AD ^{2}.**

**Ans. **AD^{2} =

**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

211 videos|109 docs|45 tests

### Proof: Angle Sum Property of Triangle

- Video | 03:09 min
### Examples: Angle Sum Property of Triangle

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### Equilateral Triangle and its Properties

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### Isosceles Triangle and its Properties

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### Examples: Equilateral and Isosceles Triangle

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- Learning Angle Sum Property of a Triangle by an Activity
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