Question

ABCD is a rhombus in which altitude from D to sides DM. bisect AB. find the angle of the rhombus ​

Answer 1

Answer:

In rhombus the opposite angles are equal.

Then, the answer is:-

angleA = angleC =60°

angleB = angleC =120°

Step-by-step explanation:

At first, See the picture which I have drawn in this answer.

Let,

Every side of the rhombus = a cm

Here we got the information that there is an altitude from D which bisect AB in M point.

That means,

AM is equal to BM

which means that AM = BM = (a/2) cm

Now we can see that,

triangle AMD is a right angled traingle

Now, if we use trigonometry —

Cos A= AM/AD

or, Cos A= a/(a/2)

or, Cos A=1/2

or, Cos A= Cos 60°

or, A= 60°