All categories

3 years ago

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

Mathematics

1 answer:

Masja [62]3 years ago

7 0

Answer:

The triangle is not right angled.

Step-by-step explanation:

According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.

For example, in triangle ABC,

$AB^{2} = BC^{2}+CA^{2}$

It shows, that the triangle ANBC is right angled and right angle is at C.

So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.

You might be interested in

I need helpp!!!!!!!!!!!!

Rasek [7]

Hey,
We can see here 2 of the angles are equal and the third one is a right angle right?
That means it is an isosceles triangle since they have 2 equel angles and a right anlgle.

Another feature of the isosceles triangle is that 2 sides are equal.
We are given one side is 5.5 right?
So the side BC has to be 5.5 or the side AB has to be 5.5
In isosceles triangles the side opposite to the 90 degree angle is the hypotenuse.This means it is the longest angle.
So it has to be AB which is equal to 5.5 since BC is the hypotenuse.

Hope this helps,Happy New Year

8 0

3 years ago

Q4.

goblinko [34]

The coding of the statistic is used to make it easier to work with the large sunshine data set

The mean of the sunshine is 3.05 $\overline 6$

The standard deviation is approximately 18.184

Reason:

The given parameters are;

The sample size, n = 3.

∑x = 947

Sample corrected sum of squares, Sₓₓ = 33,065.37

The mean and standard deviation = Required

Solution:

$Mean, \ \overline x = \dfrac{\sum x_i}{n}$

The mean of the daily total sunshine is therefore;

$Mean, \ \overline x = \dfrac{947}{30} \approx 31.5 \overline 6$

$s = \dfrac{x}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{Ex}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{31.5 \overline 6}{10 } - \dfrac{1}{10} = 3.05 \overline 6$

The mean ≈ 3.05 $\overline 6$

Alternatively

, $The \ mean \ of \ the \ daily \ total \ sunshine, \, s = \dfrac{31.5 \overline 6 - 1}{10 } = 3.05\overline 6$

The mean of the daily total sunshine, $\overline s$ ≈3.05 $\overline 6$

$Var(s) = Var \left(\dfrac{x}{10 } - \dfrac{1}{10} \right)$

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times Var \left(x \right)$

Therefore;

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times 33,065.37 = 330,6537$

Therefore;

$s = \sqrt{330.6537} \approx 18.184$

The standard deviation, $s_s$ ≈ 18.184

Learn more about coding of statistic data here:

brainly.com/question/14837870

3 0

2 years ago

A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers and 1

Crazy boy [7]

Answer:

what's the question?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How does an expression differ from an equation?

rewona [7]

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

8 0

3 years ago

Give the value of the expression from (a) when x=10 (i just need the answer for B)

Masteriza [31]

Answer:

257

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2x² + 5x + 7

x = 10

Step 2: Evaluate

Substitute: 2(10)² + 5(10) + 7
Exponents: 2(100) + 5(10) + 7
Multiply: 200 + 50 + 7
Add: 250 + 7
Add: 257

5 0

3 years ago