Question

Please help me out ?

Answer 1

An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:

Let a and b be two sides of a triangle and c is the longest side:

`a^(2) + b^(2) \ \textless \ c^(2)`

So taking your given:


`10^(2) + 15 ^(2)` <
`c^(2)`
100 + 225 <
`c^(2)`
325 <
`c^(2)`

To get the smallest possible number, just get the square root of both sides:


`√(325)` <
`\sqrt{c^(2) }`
18.03 < c

So your smallest possible whole number is 19