The lengths of the sides of a triangle are 3, 3, and the square root 3. Can the triangle be a right triangle?

2 answers:

8 0

First find the decimal equivalent of square root 3: SQRT(3) = 1.732 ( roughly)

If the base and height were each 3, then the hypotenuse would need to be:

3^2 + 3^2 = C^2
9 + 9 = C^2
18 = C^2
C = SQRT(18) = 4.24

This is larger than sqrt(3), so this cannot be a right triangle.

If one leg was 3 and the other leg was sqrt(3) then the hypotenuse would be:
3^2 + 1.73^2 = C^2
9 + 3 = C^2
12 = C^2
C = SQRT(12) = 3.46

This is larger than 3, this cannot be a right triangle.

The answer is b) no.

melisa1 [442]3 years ago

8 0

No
Because it does not obey Pythagoras theorem (a^2 + b^2 = c^2)

You might be interested in

Graph the equation y-1=-3(x-3)

trapecia [35]

Answer:

y= -3x +10

the y-intercept is at 10 and then go 3 down one to the right

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which equation matches the function described in the table?

BaLLatris [955]

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

6 0

3 years ago

To convert a measurement, Pete must move the decimal point to the left 4 places. This is a shortcut for an operation. Which oper

monitta

The operation applied is division.

a simple explanation is that the quantity decreases if you move the decimal to the left, which is the case for division

A power of 10^-4 is involved (you get a negative sign if you shift the decimal to the left: which is another explanation to the above question)

6 0

3 years ago

Read 2 more answers

use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your

Butoxors [25]

Answer:

<h3>See below</h3>

Step-by-step explanation:

to figure out the ratios we must figure out the length of <u>hypotenuse</u> first to do so we can consider <u>Pythagoras</u><u> theorem</u> given by

$\displaystyle {a}^{2} + {b}^{2} = {c}^{2}$