Expand your horizons with the diverse and informative answers found on IDNLearn.com. Join our Q&A platform to receive prompt and accurate responses from knowledgeable professionals in various fields.
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)
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.