Answer
3.4 units
Explanation
The lengths of a triangle are; 2 units, 5 units and x units. These 3 are connected by a formula of Pythagoras theorem.
c² = a² + b²
Where c is the longest side, a and b are the legs of the rectangle.
When x is the longest:
∴ x² = 4² + 5²
= 16 + 25
= 41
x = √41
= 6.4 units
When x is the shortest:
x² = 5² - 4²
= 25 - 16
= 9
x = √9
= 3 units
Difference = 6.4 - 3
= 3.4 units
Answer:
When x is longest then x is 6.4 units and when x is shortest then x =3 units
Step-by-step explanation:
Given a right triangle has side lengths 4 units, 5 units, and x units. Also, it is given that missing length is the longest or shortest side.
∴ Two cases formed
Case 1: When missing length is longest side i.e when x is longest.
By Pythagoras theorem,
x² = a² + b²
where a and b are other two sides which are given 4 units and 5 units.
∴ x² = 4² + 5²
= 16+25= 41
x = √41=6.4 units
Case 2: When missing length is longest side i.e when x is the shortest:
x² = 5²-4²
= 25-16=9
x =√9=3 units
Difference = 6.4 - 3= 3.4 units
