Vidyalelo
Aptitude · Q17

Triangles

Competitive Exams · Aptitude · question 17

Q17

The sides of a triangle are in the ratio 3 : 4 : 6. The triangle is:

A.
Acute-angled
B.
Right-angled
C.
Obtuse-angled
Answer
D.
Either acute-angled or right-angled

Answer: Option C

Solution

Answer: Option C
Solution:
According to question,
Let sides of the triangle be 3x, 4x, 6x
Now check the square of biggest side and sum of square of two smallest side and check which is greater.
∴ (3x)2 + (4x)2 < (6x)2
⇒ 25x2 < 36x2
∴ The triangle will be obtuse angled triangle.