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Find the length of a third side of a right triangle

ANTONII [103]

The sides of a right triangle can be found using the Pythagorean Theorem: a^2+b^2=c^2

c is the hypotenuse (the longest side) of the right triangle and a and b are the two other legs. Knowing any two sides of the right triangle, you can find the other using this formula.

Hope this helps!

3 0

3 years ago

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3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

6 0

2 years ago

The figure represents a traffic island that has angles measuring 60°, 20°, and 100°. Enter each angle next to its correct measur

suter [353]

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

3 0

2 years ago

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Aaron rides his bike at a constant rate of 10 miles per hour. Which table represents y, the number of miles Aaron rides his bike

Tema [17]

Answer:

I believe the answer is c. but I'm not too sure.

Step-by-step explanation:

my reasoning for this is because it's the chart that is constant. y starts out with 5=0.5 & they add five more on y's side. & x increased the same amount throughout the chart.

5 0

2 years ago

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-9 - 3x4 pls show work

alina1380 [7]

Answer:

3

Step-by-step explanation:

3x4 is 12 and then you subtract them from each 9ther

8 0

3 years ago

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