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
Ivan
3 years ago
15

One leg of a 45 - 45 - 90 triangle measures 10 inches. What is the length of the hypotenuse

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

Therefore the length of the hypotenuse is 14.14 inches.

Step-by-step explanation:

Given:

The Triangle is of 45 -45 - 90

Length of one leg = 10 inches

To Find:

Length of the hypotenuse = ?

Solution:

The Triangle is of 45 -45 - 90 ..................Given

So For 45 - 45 - 90 Both the Legs of Triangle is SAME

i.e Longer leg = Shorter leg = 10 inches

Now in Right angle Triangle By Pythagoras Theorem we have

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

On substituting the values we get

Hypotenuse^{2}= 10^{2}+ 10^{2} \\\\Hypotenuse^{2}=200\\Square\ Rooting\ we\ get\\Hypotenuse=\sqrt{200}=10\sqrt{2}=10\times 1.414=14.14\ inches

Therefore the length of the hypotenuse is 14.14 inches.

You might be interested in
I need to know How to solve it
dezoksy [38]
SohCahToa
Heard of it?
Sine- opposite over hypotenuse 
Cosine-adjacent over hypotenuse 
Tangent- opposite over adjacent 
4 0
3 years ago
Please help me with this Statistics problem
Cerrena [4.2K]
It would be the first answer. Bubble. I don't know what you call it. But yeah, it's the first one.
7 0
3 years ago
Yall can someone plz do this for me I would really appreciate it I'll give all of my points
ycow [4]

bjubjbjbjujvgjv gbv hvhbb hbjhnhubhvgcf fgc vvhvghvhbv b n hgctgcfxrfxtygyhbhjkbmk

6 0
3 years ago
Ryan measure the perimeter of his square painting so he can make a wooden frame . find the perimeter of the painting in centimet
egoroff_w [7]

Answer:

Perimeter = 122 cm or 1.22 m

Step-by-step explanation:

The complete question with image is attached.

We know the perimeter is the sum of all the sides.

Since it's already given that one side is 30.5 and we know it is a square, so perimeter would be sum of all the 4 sides [each 30.5 cm].

Perimeter = 30.5 + 30.5 + 30.5 + 30.5 = 122 cm

Also, to get the answer in meters, we need to know that 100 cm = 1 m, hence

We got to divide by 100 to get our answer in meters, so

122/100 = 1.22 meters

Hence

Perimeter = 1.22 m

6 0
3 years ago
A rectangular hotel room is 11 feet wide and 25 feet long. What is its perimeter?
bekas [8.4K]

Answer:

The answer is 72

Step-by-step explanation:

The formula for perimeter is (L+W)x2

So in your case (11+25)x2

Or add all 4 sides of the rectangle up and you have your answer <3

5 0
2 years ago
Other questions:
  • If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3.
    8·2 answers
  • Starting with the formula for the difference of cubes, which pair of steps can be used to show that the expressions are
    9·1 answer
  • in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 l
    8·1 answer
  • Help find the volume.
    15·2 answers
  • Which equation below does the graph represent?
    13·1 answer
  • Write the reciprocal of 5 2/3 in lowest terms.
    11·2 answers
  • How many packages of gum can you buy with $18 if one package cost $2?
    7·1 answer
  • What is 3/4 divide by 1/6 <br> no simplfly
    6·1 answer
  • Need help with math problem if do get 5 star
    15·1 answer
  • If a parabola's focus is at (−2, 5) and the directrix is at y = −1, what is the vertex form of the equation representing this pa
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!