From simple questions to complex issues, IDNLearn.com has the answers you need. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Find The Length Of X In The 45 Degree 45 Degree 90 Degree Triangle Show Work class=

Sagot :

Answer:

Option A

Step-by-step explanation:

Given:

  • Angle=45°
  • Base= 9
  • hypotenuse = x

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]