Mathematics, 09.01.2020 21:31 megamorph

Triangle a has side lengths of 10 units, 24, units, and 26 units. ryan cut out 2 copies of triangle a and joined them together to form a rectangle. what is the perimeter of the rectangle formed when the two triangles are joined?

Answers: 1

Show answers

Answers

Answer from: dlow4974

Perimeter of Rectangle will be 68 units.

Step-by-step explanation:

Given:

Length of side 1 = 10 units

Length of side 2 = 24 units

Length of side 3 = 26 units

Now we will check whether the triangle A is right angle triangle or not;

$(Length of side 3)^{2} = 26^2 = 676$

$(Length of side 2)^{2} = 24^2 = 576$

$(Length of side 1)^{2} = 10^2 = 100$

Now From above we can see that;

676 = 576 + 100

Hence we can say ;

$(Length of side 3)^{2} = ](Length of side 2)^{2} + (Length of side 1)^{2}$

By Converse of Pythagoras theorem.

"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."

Now Given:

Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.

So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.

Now;

Length of rectangle = 24 units

Width of rectangle = 10 units.

We need to find the perimeter of rectangle.

Now Perimeter of rectangle is 2 times sum of Length and width.

framing in equation form we get;

Perimeter of rectangle = $2(l+w) = 2\times (24+10) = 2\times 34 =68 units.$

Hence Perimeter of Rectangle will 68 units.

Answer from: Quest

-2x-4

step-by-step explanation:

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

Another question on Mathematics

Mathematics, 21.06.2019 22:30

What is the graph of the absolute value equation ? y=|x|-5

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Need solving this 2nd limit problem.

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

What is the solution for 6 - 7/8? explain the steps.

Answers: 1

Answer

Mathematics, 22.06.2019 00:40

If a distance of 75 yds is measured back from the edge of the canyon and two angles are measured , find the distance across the canyon angle acb = 50° angle abc=100° a=75 yds what does c equal?

Answers: 1

Answer

You know the right answer?

Triangle a has side lengths of 10 units, 24, units, and 26 units. ryan cut out 2 copies of triangle...

Questions

Mathematics, 28.07.2020 18:01

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x...