All categories

3 years ago

Determine whether a triangle with sides .20 inches 48 inches and 52 inches long is a right triangle. Justify your answer.

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

To find out whether or not a triangle is a right triangle, you have to figure out whether or not it satisfies the Pythagorean Theorem.

The Pythagorean Theorem says that the sum of the squares of the side lengths, represented by variables a and b, must equal the square of the hypotenuse, represented by c.

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

When we plug in the side lengths and simplify the Theorem, it results in a true statement, so we can conclude that yes, the triangle is a right triangle.

You might be interested in

What is the solution to the inequality? −4(x−6)≤−2x+6

Kipish [7]

-4(x-6) ≤ - 2x+6
-4x-24≤ -2x+6
+2x +2x
-2x-24≤+6
+24 +24
-2x ≤ 30
Divide both sides by -2
and you get....
x ≥ -15
You switch the inequality sign because you're dividing by a negative.
I hope all is well, and you pass! Good luck, rockstar! (:

3 0

3 years ago

What is the measure of EAB in circle F? 72° 92° 148° 200°

Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

$\widehat{EDC}=2\times m\angle EBC$

$\widehat{EDC}=2\times 80^{\circ}$

$\widehat{EDC}=160^{\circ}$

Similarly, we will find the measure of arc DCB.

$\widehat{DCB}=2\times m\angle DEB$

$\widehat{DCB}=2\times 70^{\circ}$

$\widehat{DCB}=140^{\circ}$

$\widehat{ED}=\widehat{EDC}-\wdiehat{DC}$

$\widehat{ED}=160^{\circ}-88^{\circ}$

$\widehat{ED}=72^{\circ}$

$\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}$

$72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}$

$212^{\circ}+\widehat{EAB}=360^{\circ}$

$\widehat{EAB}=360^{\circ}-212^{\circ}$

$\widehat{EAB}=148^{\circ}$

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0

3 years ago

Read 2 more answers

When tossing 2 coins, the probability of getting exactly 1 tail is 1/4

Rina8888 [55]

The answer is false.

Exactly 1 tail would mean the probability is 1/2.

5 0

2 years ago

Read 2 more answers

X+y=4 X-3y=12 Graph?

AlekseyPX

I'll solve it algebraically

x+y=4
x-3y=12

multiply first equatoin by -1 and add to second

-x-y=-4
x-3y=12 +
0x-4y=8

-4y=8
divide both sides by -4
y=-2

sub back

x+y=4
x+-2=4
add 2 to both sides
x=6

x=6
y=-2
(6,-2)

8 0

2 years ago

Audra and Darcy both play softball. Audra started the season with 5 home runs and is

Arte-miy333 [17]

Answer:

No Solutions

Step-by-step explanation:

We have to create an equation to be able to solve this problem.

Let's let x = the # of home runs

The equation that helps us solve this is 5 + 1x = 10 + 1x

First, we have to subtract 1x from each side (always subtract the variable first before the constant, math rule)

This brings us to 5=10 because the x's cancel each other out.

You probably look at this saying, wait, this isn't right, and you would be correct

Since this equation isn't true, it is No Solutions

No Solutions mean there is no answer to the problem, it is impossible to solve.

So, our final answer is No Solutions

Hope this helps, have a great day! :)

4 0

1 year ago