Question : The ratio of the three sides of the triangle is 5 : 13 : 12. What is the largest angle of the triangle?
Option 1: 80°
Option 2: 90°
Option 3: 135°
Option 4: 120°
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 90°
Solution :
Given: The ratio of the three sides of the triangle is 5 : 13 : 12.
The ratio of the three sides of the triangle forms Pythagoras triplets.
Let the sides of the triangle be $x$.
According to the question,
$(5x)^2+(12x)^2$
= $25x^2+144x^2$
= $169x^2$
= $(13x)^2$
So, the ratio of the three sides of the triangle forms Pythagoras triplets.
Therefore, the triangle is a right-angled triangle.
Thus, the largest angle of the triangle = 90°.
Hence, the correct answer is 90°.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
