Question : DEF is an isosceles triangle such that DE = DF = 60 cm and EF = 96 cm. DG is a median to base EF. What is the length of DG?
Option 1: 22 cm
Option 2: 36 cm
Option 3: 24 cm
Option 4: 32 cm
Answer (1)
15th Jan, 2024
Correct Answer: 36 cm
Solution :
Given:
DE = DF = 60 cm, EF = 96
DG median cuts EF into two halves.
So, EG = $\frac{96}{2}=48$ cm
In $\triangle$DEG,
DE
2
= DG
2
+ EG
2
⇒ DG = $\sqrt{60^2-48^2}=\sqrt{1296}=36$ cm
Hence, the correct answer is 36 cm.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Result Date:
4 Nov, 2024
- 11 Nov, 2024
Application Date:
5 Nov, 2024
- 20 Nov, 2024
Exam Date:
17 Nov, 2024
- 17 Nov, 2024
Tier II
Exam Date:
18 Nov, 2024
- 18 Nov, 2024
Application Date:
18 Oct, 2024
- 22 Nov, 2024
