A right triangle has the side legnths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or short
est side.
Rounded to the nearest tenth, what is the difference between the possible values of x ?
1 answer:
Answer:
For longest x = 6.4
For shortest x = 3
Step-by-step explanation:
Given a right angle triangle with lengths 4 units and 5 units and x units .
x can be gotten using Pythagoras theorem .
If x Is the longest side , then
x^2 = 5^2 + 4^2
= 5x5 + 4x4
= 25 + 16
x^2 = 41
x = squared root of 41
x = 6.4
If x is the shortest side ,
x^2 = 5^2 - 4^2
= 5x5 - 4x4
= 25 - 16
x^2 = 9
x = squared root of 9
x = 3
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