Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term,
Let there are n terms in the AP.
So,
There are 20 terms in the series. The sum of 20 terms is :
So, the sum of the given arithmetic series is equal to 5040.
The two triangles are similar by SSA similarity. Option B is correct.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.
From the triangle ABC and DEC
The ratio of the sides is;
One angle c is common in the two triangles.
The two triangles are similar by SSA similarity.
Hence, option B is correct.
To learn more about the triangle, refer to:
#SPJ1