Get detailed and reliable answers to your questions with IDNLearn.com. Join our knowledgeable community and get detailed, reliable answers to all your questions.

Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points


Solve For X Leave Your Answer In The Simplest Form Image Down Below Please Help Brainlist And Points class=

Sagot :

Apply Pythagorean theorem

  • H²=9²+5²
  • H²=81+25
  • H²=106

So

  • x²=106+4²
  • x²=106+16
  • x²=122
  • x=√122
  • x=11.04≈11

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)