Quadrilateral BCDE is inscribed in circle A. EBC and BCD measure

Find the area a of the triangle whose sides have the given lengths. a = 20, b = 15, c = 25 a =?

PIT_PIT [208]

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

<h3>What is Heron's formula?</h3>

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = $\frac{a+b+c}{2}$

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Area of the triangle = $\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150$

Thus, the area of a triangle is 150.

Learn more about the Area of triangles here:

brainly.com/question/11952845

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3 0

2 years ago

ANSWER QUICK PLEASEEEEEEEEEEEEEE

Zepler [3.9K]

Answer:

3

Step-by-step explanation:

8 0

2 years ago

Mary says the pen for her horse is an acute right angle triangle is this possible explain

slavikrds [6]

An acute triangle is triangle that's less than 90 degree angle and a right triangle is exactly 90 degree angle so

the answer is no, it is not possible

8 0

3 years ago

Given the equation 6x + 18 = 72: Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)

bulgar [2K]

Considering the linear function 6x + 18 = 72, it is found that:

A. The problem is: You made a number of services for $6, plus a base pay of $18, and earned $72. How many services you made?

B. The solution is: x = 9.

C. In the context of this problem, the solution means that you made 9 services.

<h3>What is a linear function?</h3>

The general format of a linear function is presented as follows:

y = mx + b.

In which the coefficients are:

m is the slope, representing the variable amount, that is, by how much y changes when x is increased by one.

b is the y-intercept, which is the fixed amount.

In this problem, the equation is:

6x + 18 = 72.

From the given equation, considering the slope of 6 and the intercept of 18, the problem can be presented as follows:

You made a number of services for $6, plus a base pay of $18, and earned $72. How many services you made?

The solution is found isolating the variable x, as follows:

6x = 72 - 18

6x = 54

x = 54/6

x = 9.

The solution x = 9 represents the number of services that you made, in the context of this problem.

More can be learned about linear functions at brainly.com/question/24808124

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3 0

1 year ago

How does the sum of 2 + 6 change if both integers are negative? Explain.

ivolga24 [154]

Because they are negative

5 0

1 year ago