1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bingel [31]
3 years ago
5

In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse

Mathematics
2 answers:
horsena [70]3 years ago
5 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle equal 180° .

Thus ;

The angle which facing to the side 4 is 45°.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Hint :

In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .

Thus ;

\frac{ \sqrt{2} }{2} x = 4 \\

Multiply sides by 2

2 \times  \frac{ \sqrt{2} }{2} x = 2 \times 4 \\

\sqrt{2} x = 8 \\

Divide sides by √2

\frac{ \sqrt{2}x }{ \sqrt{2} }  =  \frac{8}{ \sqrt{2} }  \\

x =  \frac{4 \times 2}{ \sqrt{2} }  \\

x =  \frac{4 \times  \sqrt{2} \times  \sqrt{2}  }{ \sqrt{2} }  \\

x = 4 \sqrt{2}  \\

x = hypothenuse = 4 \sqrt{2}

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

BARSIC [14]3 years ago
3 0

Answer:

nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy

You might be interested in
Eight times the sum of a number and 4 equals 3
BigorU [14]

The algebraic expression is:8(x+4)=3

And Value of x is: x=\frac{-21}{8}

Step-by-step explanation:

We need to write the expression of the statement:

Eight times the sum of a number and 4 equals 3

Let the number = x

The expression will be:

8(x+4)=3

Solving the expression to find value of x:

8(x+4)=3\\8x+24=3\\Adding\,\,-24\,\,on\,\,both\,\,sides:\\8x+24-24=3-24\\8x=-21\\x=\frac{-21}{8}

So, The algebraic expression is:8(x+4)=3

And Value of x is: x=\frac{-21}{8}

Keywords: Algebraic Expression

Learn more about Algebraic Expression at:

  • brainly.com/question/1600376
  • brainly.com/question/1617787
  • brainly.com/question/9720317

#learnwithBrainly

3 0
3 years ago
Jared painted 5/12 and 4/12 blue.what part of the mug is not red or blue?
Reika [66]
3/12 of the mug is not blue or red
7 0
3 years ago
The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Us
sertanlavr [38]
Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4
8 0
3 years ago
What is the perimeter of this figure
lesantik [10]

Answer:

11+11+3+3+3= 31

Step-by-step explanatio

7 0
3 years ago
Read 2 more answers
Unit 4: Congruent Triangles Homework 2: Angles of Triangles
garri49 [273]

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

<h3>How to solve the triangle?</h3>

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

Learn more about triangles on:

brainly.com/question/17335144

5 0
2 years ago
Other questions:
  • Can someone help me with this question
    5·1 answer
  • What is a ajdacent angle
    6·1 answer
  • In Pennsylvania, the state sales tax is 6%. A book costs $11.50 and a video game costs $65. Rounded to the nearest cent, how muc
    15·1 answer
  • Can someone help me with math?
    6·2 answers
  • What is the equivalent decimal? Drag the answer into the box to match the fraction. 6/11
    9·2 answers
  • If you have 2 dollars and 5 cents what do you do to find out how much you would have in a 5 days
    10·1 answer
  • The area of Mammoth Cave NationalPark in Kentucky is about fifty-two thousand, eight hundred thirty and nineteen hundredths acre
    8·1 answer
  • What is the common difference for this arithmetic sequence?<br> -5, -1, 3, 7, 11, ...
    15·1 answer
  • Multi step equation help<br><br> 5n - 2 ( 2 -n ) = -7
    15·2 answers
  • What is after googolplex
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!