Question

a rombus is such that one of its diagonal is equal to the side of the rombus find the angles of the rhombus​

Answer 1

Answer:

Given that one side of rhombus is equal to its diagonal and we know that all sides of rhombus are equal. So, in ΔABC all sides are equal. Hence the correct option is “C”. ... When all sides of triangles are equal then, then all angles of the triangle are also equal and that triangle is known as an equilateral triangle.

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Related Questions

ABCD is a rhombus such that one of its diagonals is equal to its side. Find the number of the angles of rhombus ABCD.

(A) 450,1350,450,1350

(B)1000,800,1000,800

(C)1200,600,1200,600

(D)600,600,600,600

Answer

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Hint- In order to solve this question, we will use the properties of triangles such as the sum of internal angles of a triangle is 180 degree. First we will split the rhombus into two triangles and use the conditions given in the question to solve the question.

Given that one side of rhombus is equal to its diagonal and we know that all sides of rhombus are equal.

Therefore, the triangles formed in the rhombus with common one side common (diagonal ) will be equilateral triangle

So, in ΔABC all sides are equal.

Let x be the measure of angles in ΔABD

⇒x+x+x=1800 sum of angles in a triangle is 1800

⇒3x=1800∴x=600∴∠B=600

Now in ΔACD

Let x be the measure of angles in ΔACD

⇒x+x+x=1800

⇒3x=1800∴x=600∴∠D=600

Therefore the angles of the rhombus are

⇒∠A=600+600=1200⇒∠C=600+600=1200

Therefore, the angles of the rhombus ABCD are 1200,600,1200,600

Step-by-step explanation:

Hope this will help you