mysticoceanz14 mysticoceanz14
  • 06-01-2022
  • Mathematics
contestada

Which expression gives the length of JK in the triangle shown below?
3
24
L
31
O A. 24 +31
O B. 242 +312
C. 24 +31
O D. √24² +312

Which expression gives the length of JK in the triangle shown below 3 24 L 31 O A 24 31 O B 242 312 C 24 31 O D 24 312 class=

Respuesta :

nomin7
nomin7 nomin7
  • 06-01-2022

Answer:

d

Step-by-step explanation:

by using the a²+b²=c²

c²=

[tex] \sqrt{24 { }^{2} } + 31 {?}^{2} [/tex]

Answer Link
jimthompson5910 jimthompson5910
  • 06-01-2022

Answer: Choice D

Explanation:

We use the pythagorean theorem to form that expression since [tex]a^2+b^2 = c^2\\\\[/tex] can be solved to [tex]c = \sqrt{a^2+b^2}\\\\[/tex], then we plug in a = 24 and b = 31.

The side JK is the hypotenuse, which is always opposite the 90 degree angle and it's always the longest side.

Answer Link

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