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2 years ago

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Mathematics

1 answer:

marusya05 [52]2 years ago

3 0

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: $a^{2} +b^{2} = c^{2}$ . Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

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Work out the gradient of the line joining the points (2, 3) and (5,7)

Debora [2.8K]

Answer:

The gradient of the line joining the points $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ is $\frac{4}{3}$ .

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ( $m_{PQ}$ ), that is:

$m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}$ (1)

If we know that $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ , then the gradient of the line is:

$m_{PQ} = \frac{7-3}{5-2}$

$m_{PQ} = \frac{4}{3}$

The gradient of the line joining the points $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ is $\frac{4}{3}$ .

4 0

2 years ago

When placing a polygon on a coordinate plane for a coordinate proof a vertex at the origin is NOT a good location for the figure

irina1246 [14]

I do not understand the question please clarify. Thank you.

8 0

3 years ago

How do you get the answer for <br> 7 1\2 - 1 1\5=

grandymaker [24]

Make them common denominators

5 0

3 years ago

Please help me, will mark you as brainiest! Don’t answer if you don’t know it!

Vesnalui [34]

Answer:

The correct option is;

26.8

Step-by-step explanation:

The given parameters are;

The perpendicular bisectors of the sides of ΔMNP = Segments OQ, OR, and OS

Therefore;

in Segment MN, segment QM = segment QN, by definition of bisected line

Segment OQ = Segment OQ by reflexive property

∠OQM = ∠OQN = 90° by definition of perpendicular bisector

∴ ΔOQN ≅ ΔOQM, by SAS rule of congruency

Segment MO ≅ Segment ON by Congruent Parts of Congruent Triangle are Congruent, CPCTC

Segment MO = Segment ON = 26.8, by definition of congruency

Segment MO = 26.8

6 0

3 years ago

I need Advice preferably from 10th graders and up.

Lera25 [3.4K]

Life Advice:

I, too have experienced a huge fall in my math grades. I'm currently in high school and I have maybe 2 assignments done in my entire school year of math. I have almost no problem with any other subject, I just can't <em>motivate myself to do math</em>. I have a hard time ever even considering catching up, and I personally do not know if I will.

You might have the same problem I do, which is just lack of motivation.

If I were you I would provide some sort of incentive to get yourself to do it more efficiently and better yet, more enjoyably. I also advise listening to music that can get you in a good mood. Both of these things have been a huge help for me to stay motivated in other classes, and they may even help you with math.

I would also recommend getting some kind of a personal tutor. A friend, a worker at school, one of your math teachers. Never feel embarrassed to tell them you're behind. People will almost always be understanding when it comes to helping someone learn something they're behind on.

For an incentive, think about something you might be able to buy with money from a job that you take outside of high school, like a car or a house, or a guitar.

I, personally, am going to get a really beat-up pickup truck if it lasts till the end of my school year.

I hope this helped!

Thanks!

Your friend in life,

~Steve

5 0

2 years ago

Read 2 more answers