131k views
0 votes
Find the area of the regular polygon. Round your answer to the nearest tenth.

Find the area of the regular polygon. Round your answer to the nearest tenth.-example-1
User Folex
by
8.0k points

2 Answers

2 votes

Answer:

43.3

Explanation:

since it is a regular polygon thus it is a equilateral triangle where all sides are the same and all angles are 60

use formula 1/2 x a x b x sin C where a and b are sides and C is the angle

1/2 x 10 x 10 x sin 60 = 43.30

or method 2 is using Pythagoras theorem by drawing a perpendicular height to length 10km

h =
\sqrt{10^(2) - (10/2)^(2) } = √(75) \\

area of triangle = 1/2 x 10 x
√(75) = 43.30

User Tempcke
by
8.6k points
5 votes

Answer:

43.30 km^2

Explanation:

Since the shape is a regular polygon, the sides of the triangle are equal (10km) now find the area on the triangle using herons formula

Working:

Side is 10

Perimeter= 30km

Semiperimeter (s) = 15km

Formula= √s(s-a)(s-b)(s-c)

= √15(15-10)(15-10)(15-10)

= √15*5*5*5

=5√5*15

=5√75

= 5*8.66

= 43.3 km^2

User Ramil Amerzyanov
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories