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mart [117]
2 years ago
5

8.

Mathematics
1 answer:
Semenov [28]2 years ago
8 0

Answer:

= 3^9

Step-by-step explanation:

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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
Show all work:
DerKrebs [107]

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

4 0
2 years ago
A _______ is a type of folk song that tells a story.
ElenaW [278]
I Belive it might be ballad
7 0
3 years ago
Read 2 more answers
The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triang
weqwewe [10]

Answer:

Obtuse

Step-by-step explanation:

  1. You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle.
  2. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If c^{2} = a^{2} +b^{2} then it is a right triangle. If c^{2} >a^{2} + b^{2} then it is an obtuse triangle. if c^{2} < a^{2} +b^{2} then it is an acute triangle.
  1. 10^{2} _ 3^{2} + 8^{2}
  2. 9+64_100
  3. 70_100
  4. 70<100

in this case c^{2} is greater than a^{2} +b^{2} therefore, is it an obtuse triangle.

3 0
2 years ago
Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university, however, she must pay
sleet_krkn [62]

Answer:

213 euros per month

Step-by-step explanation:

1dollar = 0.7306euros

thus $3,500 dollars can be found by a rule of three

dollar             euro

1             ⇒  0.7306

3500     ⇒        x

we find x as follows:

x=\frac{0.7306*3500}{1} = 2,557.1 euros

She will pay 2,557.1  euros per year.

Dividing between the 12 months of the year:

\frac{2,557.1}{12}=213.1

Rounding to the nearest whole euro she will pay 213 euros per month.

7 0
3 years ago
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