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3 years ago

A triangle and a parallelogram have the same base and the same area.

Mathematics

1 answer:

KIM [24]3 years ago

7 0

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

= (28+26+30)/2

= 42 centimeters

Now, to find the area, we can use Heron's formula:

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

$\sqrt{42(42-28)(42-26)(42-30)$

$\sqrt{42(14)(16)(12)}$

$\sqrt{112896}$

336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

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Someone help. pls and ty answer only if u know the answer pls

zmey [24]

Answer:

It is not permitted the denominator to be zero as we can't divide by zero.

Non- permissible values are:

ab² = 0
a = 0, b = 0

3n + 1 = 0
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4 - a = 0
a = 4

x² - x - 12 = 0
(x - 4)(x + 3) = 0
x = 4 or x = -3

10x³ - 92x² + 18x = 0
2x(5x² - 46x + 9) = 0
x(5x - 1)(x - 9) = 0
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3 years ago

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sveticcg [70]

The answer to the first is -65.

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5 0

3 years ago

Write the equation of a line in slope intercept form given; (6,-3), (0, 5)

olganol [36]

Answer:

$y=(-4/3)x+5$

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= $\frac{y2-y1}{x2-x1}$

m= $\frac{5+3}{0-6}$

m= $\frac{8}{-6}$

m= - $\frac{4}{3\\}$

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

$y=(-4/3)x+5$

3 0

3 years ago

Solve the quadratic equation by taking the square root of (x+5)^2=16

Liula [17]

Hi okay i’m gonna write the explanation i hope you give me a brilliant if you think I’m deserving it thank you

(x-5)2=16

The first step you can take to solve this quadratic is to take the square root of both sides of the equation.

√[(x-5)2]=√(16)

When you take the square root of a term that is square it equals what is inside the parentheses.

So on the left side, you have x-5

On the right side, you are what we call "forcing" the square root. When this happens, you need to put ±. Why? Good question. When you square a negative number it positive; when you square a positive number it is also positive.

The √16 = ±4

So now we have;
x-5=±4

What do you do with that?
You make two separate equations.

x-5=4 and x-5=-4
x=9 x=1

Let's check our answers

x=9

(x-5)2=16
(9-5)2=16
42=16
16=16 it checks

x=1

(x-5)2=16
(1-5)2=16
(-4)2=16
16=16 it also checks

ANSWER: x=9 and x=1

5 0

2 years ago

Read 2 more answers

A triangle has vertices at (−4,−6),(3,3),(7,2). Rounded to two decimal places, which of the following is the closest approximati

Kryger [21]

The answer is

29.12

hope this helps

7 0

4 years ago