## RS Aggarwal Class 6 Math Sixteenth Chapter Triangles Exercise 16A Solution

## EXERCISE 16

**(1) Take three non collinear points A, B and C on a page of your notebook. Join AB, BC and CA. What the figure do you get?**

Name:

(i) The side opposite to ∠C = AB

(ii) The angle opposite to the side BC = ∠A

(iii) The vertex opposite to the side CA = B

(iv) The side opposite to the vertex B = AC

**(6) If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.**

**(7) In a ∆ABC, if 3 ∠A=4∠B=6∠C, calculate the angles.**

**(8) Look at the figures given below. State for each triangle whether it is acute, right or obtuse.**

**Ans**: (i) Obtuse

(ii) Acute

(iii) Right

(iv) Obtuse

**(9) In the given figure some triangles have been given. State for each triangle whether it is scalene, isosceles or equilateral.**

(i) Isosceles

(ii) Isosceles

(iii) Scalene

(iv) Equilateral

(v) Equilateral

(vi) Isosceles

(vii) Scalene

**(10) Draw a ∆ABC. Take a point D on BC.**

Join AD.

How many triangles do you get?

Name them.

Ans: Three, ∆ABD, ∆ADC and ∆ABC

** (11) Can a triangle have**

(i) Two right angles?

Ans: No

(ii) Two obtuse angles?

Ans: No

(iii) Two acute angles?

Ans: Yes

(iv) Each angle more than 60^{o}?

Ans: No

(v) each angle less than 60^{o}?

Ans: No

(vi) Each angle equal to 60^{o}?

Ans: Yes

**(12) Fill in the blanks:**

(i) A triangle has __3__ sides, __3__ angles and __3__ vertices.

(v) The angle opposite to equal sides of an isosceles triangle are __equal__.

(vi) The sum of the lengths of the sides of a triangle is called its __perimeter__.

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