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The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

${h}^{2} = {p}^{2} + {b}^{2}$

Plugging the values,

${15}^{2} = {12}^{2} + {9}^{2}$

Evaluate the power

$225 = 144 + 81$

Calculate the sum

$225 = 225$

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0

2 years ago

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Which algebraic expression represents "the difference of 54 and a number"?

atroni [7]

$\huge{\boxed{54-x}}$

The difference is the result of a subtraction problem.

We are given two values that are being subtracted: 54 and a number, represented by $x$

So, represent this mathematically with $\boxed{54-x}$ .

5 0

2 years ago

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Y=y = 2x -4 when x= 2

Dominik [7]

Y would equal 0. 2x2=4 and 4-4=0.

7 0

2 years ago

How do I factorise 42x-18

ikadub [295]

6 (7x - 3)

You have to factor 6 out of 42x - 18.

Hope this Helps!!

7 0

2 years ago

Read 2 more answers

John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?

Luden [163]

34 = q + n
6.1 = .25q + .05n

-1.7 = -.05q - .05n
6.1 = .25q + .05n

4.4 = .2q
q = 22

22 of the coins are quarters.

7 0

2 years ago