74.6k views
3 votes
What is the area of this regular polygon?

What is the area of this regular polygon?-example-1

1 Answer

0 votes

Answer:

A=25√3 cm^2

Explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

User Cobrexus
by
6.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.