A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. obtuse angled
Concept used:
Let a, b and c be the sides of the triangle if
a2 + b2 < c2 then the triangle is obtuse.
Calculations:
Let the sides of the triangle be 7x, 24x and 30x
⇒ (7x)2 + (24x)2 < (30x)2
⇒ 49x2 + 576x2 < 900x2
⇒ 625x2 < 900x2
Hence, we can conclude that the triangle is obtuse angled.