Question : What is the area of a triangular flower bed of a garden whose perimeter is 20 m and two sides are 5 m and 6 m?
Option 1: $10 \sqrt{2}$ m2
Option 2: $2 \sqrt{10}$ m2
Option 3: $5 \sqrt{2}$ m2
Option 4: $4 \sqrt{5}$ m2
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $10 \sqrt{2}$ m 2
Solution :
Perimeter = 20 m
Two sides are 5 m and 6 m.
Third side = 20 – 5 – 6 = 9 m
Semi perimeter, $ s = \frac{a+b+c}{2} = \frac{20}{2} = 10$
Area of triangle $= \sqrt{s(s-a)(s-b)(s-c)}$
$= \sqrt{10(10-5)(10-6)(10-9)}$
$= \sqrt{10×5×4}$
$=\sqrt{200}$
$=10 \sqrt{2}$ m
2
Hence, the correct answer is $10 \sqrt{2}$ m
2
.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
