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)
