All categories

2 years ago

Find the area or this triangle

Mathematics

1 answer:

Arlecino [84]2 years ago

3 0

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: $Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))$

We have: $x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5$

Putting values and finding area

$Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15$

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

You might be interested in

A cone has a height of 18 yards and a diameter of 28 yards. What is its volume?

Veseljchak [2.6K]

Answer:

3694.5 yd^3

Step-by-step explanation:

cone volume equation:

π x $r^{2}$ x $\frac{h}{3}$

π (28 yd/2)^2 x (18/3)

π x 196 x 6

3694.5 yd^3

8 0

2 years ago

Leons older brother is 4 and 3/4 feet tall. Leon is 1/3 foot shorter than his brother .how tall is leon

Mandarinka [93]

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

$4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft$

we know that

$x=\frac{19}{4}\ ft$ -----> equation A

$y=x-\frac{1}{3}$ -----> equation B

substitute equation A in equation B

$y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ ft$

Convert to mixed number

$\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft$

therefore

<u>the answer is</u>

$4\frac{5}{12}\ ft$

6 0

2 years ago

Read 2 more answers

Calculate the angle to the nearest degree: csc (x) = 1.0353

sammy [17]

Answer:

$75^{\circ}$

Step-by-step explanation:

Given: $\csc (x) = 1.0353$

To find: angle to the nearest degree

Solution:

A triangle is a polygon that has three sides, three angles ,and three vertices.

Trigonometry explains the relationship between the sides and angles of the triangle.

The angle can be expressed in two forms: degrees or radians.

$\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}$

5 0

2 years ago

Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C

Lesechka [4]

Answer:

Solution : $-\frac{3}{4}-\frac{3}{4}i$

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]$

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

$\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}$