19 Views

Question : The sides of a triangle are of length 8 cm, 15 cm, and 17 cm. Find the area of the triangle.

Option 1: 65 cm2

Option 2: 75 cm2

Option 3: 60 cm2

Option 4: 70 cm2


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 60 cm2


Solution : The sides are 8 cm, 17 cm, and 15 cm.
Let $a=8,b=17,$ and $c=15$
Semi perimeter, $s=\frac{a+b+c}{2}=\frac{8+17+15}{2}=20$
Area of the triangle by Heron's Formula,
Area of the triangle $= \sqrt{s(s−a)(s−b)(s−c)}$
⇒ Area of the triangle $= \sqrt{20(20−8)(20−17)(20−15)}$
⇒ Area of the triangle $= \sqrt{20 \times 12 \times 3\times 5}$
⇒ Area of the triangle $= 4 \times 5 \times 3$
$\therefore$ Area of the triangle $= 60$ cm2
Hence, the correct answer is 60 cm2.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books