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
Tju [1.3M]
3 years ago
14

How do you use special right triangles to solve for missing sides? (30-60-90 and 45-45-90 triangles)

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer: see below

Step-by-step explanation:

30 - 60 - 90 triangles have angles in the triangle measuring 30, 60, and 90 degrees. A 30 - 60 - 90 triangle also has special side ratios according to a side's location in the triangle.

The side across from the 30 degree angle is represented by x.

The side across from the 60 degree angle is represented by x\sqrt{3}.

The side across from the 90 degree angle is represented by 2x.

45 - 45 - 90 triangles have angles in the triangle measuring 45, 45, and 90 degrees. A 45 - 45 - 90 triangle has special side ratios similar to the 30 - 60 - 90 triangle.

The side across from either of the 45 degree angles is represented by x.

The side across from the 90 degree angle is represented by x\sqrt{2}.

These ratios can be used to find missing sides. If you know that a triangle is one of these special triangles and you also know one of its side lengths, you can plug the known length in for x in the proper place.

EX: you have a 30 - 60 - 90 triangle with a side length of 2 across from the 30 degree angle. You then know that the side across from 60 is 2\sqrt{3} and the side across from 90 is 4.

You might be interested in
The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw+2lh+2wh. Write an eq
Yuki888 [10]

Answer:

2(lw+lh+wh)

Step-by-step explanation:

2(lw+lh+wh) using distributive property

4 0
2 years ago
What are the coordinates of the point where the total costs for both companies are the same? Question 1 options: (2, 60) (0, 0)
Molodets [167]

Answer:

0,0

Step-by-step explanation:

5 0
2 years ago
How do I solve this type of problem? I'm trying to find both missing values. Please explain how to solve this as thoroughly as y
goldenfox [79]
Hi there! 

In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
3 0
3 years ago
Given: ∆ABC, AB = CB
SCORPION-xisa [38]
Angle ABC = 48
Angle PBC = 24
Angle A + Angle C = 180-24.  Angle A = Angle C
Angle C = 132/2 = 66
Angle PCD = 66-24 = 42 degrees
4 0
3 years ago
Read 2 more answers
Please help! multiple choice! will give brainliest!
kipiarov [429]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Two numbers total 63 and have a difference of 31. Find the two numbers
    9·2 answers
  • Can anyone help me?
    11·1 answer
  • Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She wil
    9·1 answer
  • When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone
    15·1 answer
  • Please can u tell me the answer and method
    10·1 answer
  • 1. Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
    5·1 answer
  • What is 20% off of 113.83?
    7·2 answers
  • The value of πPhone stock has increased 9% each year for the past several years. In 2020, the stock was worth $75. What will the
    6·1 answer
  • Please help! I will mark as brainliest IF answer is right. <3
    7·2 answers
  • Write an equation parallel to y= -5/2x + 9 that passes through the point (-6,7) brainly
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!