1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jenyasd209 [6]
3 years ago
9

The perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = \sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}

   = \sqrt{10.5(3.5)(3.5)(3.5)}

   = \sqrt{450.1875}

   ≈ 21.22 m² ( to 2 dec. places )

You might be interested in
Fine the distance between the points A(2,-1) & B(-4,2)
nalin [4]
Answer is below........

8 0
3 years ago
A 12 by 15 inch picture is mounted on a wall and surrounded by a border of uniform width.
Ludmilka [50]

Answer:

finish your exam please i am a supervisor

Step-by-step explanation:

5 0
2 years ago
Simplify the following polynomial expression. A. B. C. D. <br> (5x^4-9x^3+7x-1)
jek_recluse [69]

Answer:

The answer to the expression (5x^4-9x^3+7x-1) = -98

Step-by-step explanation:

4 0
3 years ago
Write - 24/4 in simplest form
mina [271]

Answer:

-6 ,

Step-by-step explanation:

24 divided by 4 = 6

5 0
3 years ago
Read 2 more answers
This box holds 4 crates of eggs each holds 6 dozen eggs how many eggs are in a eggs are in the box when it is full.
zmey [24]

Each crate holds 6 dozen eggs.

1 dozen  = 12 eggs.

Multiply 12 by 6 to get the total number of eggs per crate:

6 x 12 = 72 eggs per crate.

The box holds 4 crates, multiply the number of each in a crate by the number of crates:

72 eggs x 4 crates = 288 total eggs.

7 0
3 years ago
Other questions:
  • The vertices of ΔABC are (-2,0), (-2, 3), and (-5, 1). T(x,y) = (x + 1, 3y) represents the transformation of the triangle. What
    9·1 answer
  • Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).
    13·1 answer
  • Translate and solve: eight more than the product of three and a number is -13
    6·1 answer
  • AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y
    11·2 answers
  • Kevin decides to build a square for his play park. If the area of the room is 4x^2 + 28x + 49 square feet, what is the length of
    7·1 answer
  • Heather manages a company that currently has 35 employees, e, and is gaining 5 new employees each month. Which equation below ca
    7·1 answer
  • Rhonda bought five shirts from a
    15·1 answer
  • An ice cream shop offers 40 different flavors. To simulate the most commonly chosen flavor, you could write the name of each fla
    13·1 answer
  • Please help i’ll give brainliest and explain please
    10·2 answers
  • I HAVE 10 MIN PLS HELP FIND THE VOLUME
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!