Two third of a number is 30. find the number
1 answer:
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Answer:
Case 1:
Case 2:
Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:
This gives:
Take square roots of both sides
To calculate BC, we consider ANC, where:
Collect like terms
Take square roots
So:
Case 2:
Using Pythagoras theorem in ANB, we have:
This gives:
Collect like terms
Take square roots of both sides
To calculate BC, we consider ABC, where:
Collect like terms
Take square roots
Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)
