jordynhirsch55 jordynhirsch55
  • 14-03-2021
  • Mathematics
contestada

Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-03-2021

9514 1404 393

Answer:

  B  acute

Step-by-step explanation:

We can define a "form factor" for a triangle as ...

  f = a² +b² -c²

where c is the longest side length. It will be interpreted as follows:

  • negative -- obtuse triangle
  • zero -- right triangle
  • positive -- acute triangle

For this triangle, our "form factor" is ...

  f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number

The triangle is Acute.

Ver imagen sqdancefan
Answer Link

Otras preguntas

Which one of the following statements is true about the dispersion of the distribution of sample means?
PLS HELP ILL GIVE BRAINLEST 1/4 ÷ 3/8 divide. i need it in fraction form for an answer
Kaitlin is saving money to buy a game. So far she has saved $20, which is four-fifths of the total cost of the game. How much does the game cost?
What was the main way that business leaders helped the war effort during World War Il?
Please help me with this homework
The speed was increased 20% to 48. What was the speed before the increase
what is greater? 2/7 or 2/9
Give another word or phrase which means the same of the following words: 1.Nothing short of 2.Seminar 3.Arrogance 4.Clamour 5.Maim 6.At will
Solve for y. y = 93 degrees y = 103 degrees y = 23 degrees y = 33 degrees
Help me I'm in jeproady