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3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Mathematics

2 answers:

butalik [34]3 years ago

8 0

Your answer is ASA BUDDY

tankabanditka [31]3 years ago

7 0

The graph shows a congruent angle, then a line, then another congruent angle, so it is ASA

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Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

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

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

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

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

Rou Round 66.681 to the nearest ten thousand.

Pavel [41]

Answer:

this only goes to the thousanths.

Step-by-step explanation:

7 0

3 years ago

Carol is solving the inequality 3 have? There are infinitely many solutions. There are only two solutions. There is

schepotkina [342]

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

6 0

3 years ago

Hey guys ! Can anyone help me with these problems please and thanks

AnnyKZ [126]

m = 3√2√2

= 6

n = a

= 3√2

Answer =  D) m = 6 , n = 3√2

m = n = a

m = 3

n = 3

Answer = A

3 0

2 years ago

The mean electric bill for Family C is approximately

Nata [24]

Do you have a picture to show, so that I can help?

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3 years ago