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
solniwko [45]
3 years ago
10

A triangle has side lengths 24, 32, and 42. is it a right triangle? explain.

Mathematics
2 answers:
kotykmax [81]3 years ago
7 0

Answer:

triangle given is not a right triangle

Step-by-step explanation:

Given:-

- The side lengths of a triangle are given as:

                                     24 , 32 , 42

Find:-

is it a right triangle? explain

Solution:-

- Any triangle which conforms to the pythagorean theorem can be classified as a right angle triangle.

- The Pythagorean theorem states that the square of the longest side length known as hypotenuse (H) should be equal to the sum of square of other two side lengths ( Perpendicular / opposite [ P ] and Base / Adjacent [ B] ).

- This can be mathematically expressed as:

                                     H^2 = P^2 + B^2

- From the given side lengths. The largest side length is hypotenuse H = 42. While P and B can be used interchangeably for the other two side lengths. So using the theorem we have:

                                     42^2 = 32^2 + 24^2

                                     1764 : 1024 + 576

                                    1764 ≠ 1600

- We see that the three side lengths of the triangle does not conform to theorem. So we can conclude that the triangle given is not a right triangle.

                                   

mote1985 [20]3 years ago
4 0
When given 3 triangle sides, to determine if the triangle is acute right or obtuse
square all 3 sides
sum the squares of the 2 shortest sides
compare this sum to the square of the 3rd side
if sum > 3rd side squared it's an acute triangle
if sum = 3rd side squared it's a right triangle
if sum < 3rd side squared it's an obtuse triangle

24 32 42

24*24 = 576
32*32 = 1,024
42*42 = 1,764

Sum of the square of 2 shortest sides = 1,600

Since 1,600 < 1,764 these sides form an obtuse triangle.

Source:
http://www.1728.org/triantest.htm



You might be interested in
Jill had $125 to spend at the mall. She spent 27% of that money on a pair of shoes. Jill spent $___ on the shoes.
zaharov [31]
You need to find what 27% of $125 is.
To find a percent of a number, multiply the percent by the number.

27% of $125 =

= 27% * $125

= 0.27 * $125

= $33.75

Answer: Jill spent $33.75 on the shoes.
4 0
3 years ago
6) Mrs. Larson from Bay County Schools is in charge of buying supplies. She purchased 95
svp [43]

Answer:

$3708.80

Step-by-step explanation:

Since she bought 95 pencil sharpeners for $39.04, multiply 95 and 39.04.

95 × 39.04 = 3708.8

4 0
3 years ago
Quinn has $31,700 in a savings
Masteriza [31]

Answer:

she will earn $6,657 in interest in 3 years

6 0
2 years ago
Identify the input and the output given the relation described:
bulgar [2K]
The input is the hours and the out put is the cost.
4 0
3 years ago
36 : 90 in simplest form
elena-s [515]
36:90 in simplest form would be 2:5

-Love, live, and watch anime.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The rate StartFraction 450 pounds Over 25 buckets EndFraction describes the relationship between the number of buckets and the w
    9·2 answers
  • U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
    5·1 answer
  • Evaluate [(51 + 3) − 32] ÷ 9 ⋅ 2
    7·1 answer
  • The length of a rectangle is 5 yd less than three times the width, and the area of the rectangle is 28 yd2 . find the dimensions
    12·1 answer
  • If the price of a soda was 15 cents in 1970, when the CPI was 50, and 50 cents in 2007 when the CPI was 172, then the real price
    11·1 answer
  • Please Help Me!!!!!!!
    5·2 answers
  • X-5y=2 and 4x+2y=8 using elimination
    15·2 answers
  • I need help ASAP!!!!
    9·1 answer
  • Ten ​" subtracted from twice a​ number" is
    7·1 answer
  • Please help due in 10 minutes
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!