You South lanes only cut the triangles be similar

Which of these sets could represent the side lengths of a right triangle?

Jlenok [28]

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$

Now, in the given triplets:

(a) {4, 8, 12}

Here, $(4)^{2} + (8)^{2} = 16 + 64 = 80\\\implies H = \sqrt{80} = 8.94$

So, third side of the triangle 8.94 ≠ 12

Hence, {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, $(6)^{2} + (8)^{2} = 36 + 64 = 100\\\implies H = \sqrt{100} = 10$

So, third side of the triangle 10

Hence, {6, 8, 10} is a triplet.

(c) {6, 8, 15}

Here, $(6)^{2} + (8)^{2} = 36 + 64 = 100\\\implies H = \sqrt{100} = 10$

So, third side of the triangle 10 ≠ 15

Hence, {6, 8, 15} is NOT a triplet.

(d) {5, 7, 13}

Here, $(5)^{2} + (7)^{2} = 25 + 49 = 74\\\implies H = \sqrt{74} = 8.60$

So, third side of the triangle 8.60 ≠ 13

Hence, {5, 7, 13} is NOT a triplet.

4 0

3 years ago

X^2 - 36 = 0.

strojnjashka [21]

Answer:

(x+6)(x−6)=0

x=-6 or x=6

Step-by-step explanation:

X^2 - 36 = 0

Solve by Square Root

add 36 both sides

x^2−36+36=0+36

x^2=36

square root

x=±√36

x=6 or x=−6

You can do that or for 2nd option

Solve by factoring

x^2-36=0

(x+6)(x−6)=0

Set factors equal to 0

x+6=0 or x−6=0

x=-6 or x=6

PLEASE NOTE: 36 is the square of 6

and

x2 is the square of x1

8 0

3 years ago

Two sides of a triangle have lengths 10 and 18. Which inequalities describe the possible lengths for the third side x?

puteri [66]

Let with X is denoted the length of the third side.
For a triangle the following statements must be true:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
This means that this inequality can be written: X<10+18 ,X<28

7 0

4 years ago

a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet ins

FrozenT [24]

Answer:

$13,200

Step-by-step explanation:

if 100 square feet = $1,200

1,100 square feet = $13,200

8 0

3 years ago

What is the solution for x in the equation? -x + 3/7 = 2x - 25/7

Pachacha [2.7K]

Answer:

x= 4/3

Step-by-step explanation:

Subtract 3/7 from both sides

-x= 2x-28/7

simplify

-x=2x-4

Subtract 2x from both sides

-3x=4

divide both sides by -3

x= 4/3

3 0

2 years ago