A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

obtuse angled

Concept Used

\(\Delta \)ABC has sides as a, b, c if \( {a }^{2 } \) + \( {b }^{2 } \) \(<\) \( { c}^{ 2} \) then \(\Delta \)ABC is an obtuse angled triangle.

Solution

\( {7p }^{2 } \) + \( {24p }^{2 } \) = \( { 625}^{ 2} \)

\( {30p }^{2 } \) = \( {900p }^{2 } \)

As \( {7p }^{2 } \) + \( {24p }^{2 } \) \(<\) \( {30p }^{2 } \), we can conclude that it is an obtuse angled triangle.

Therefore, it is an obtuse angled triangle.