Question : The sides of a triangle are 6 cm, 8 cm, and 10 cm. What is the area of the triangle?
Option 1: 20 cm2
Option 2: 28 cm2
Option 3: 24 cm2
Option 4: 16 cm2
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 24 cm 2
Solution : Given: Sides of the triangle = 6 cm, 8 cm, and 10 cm. Using Heron's formula the area of a triangle, $A = \sqrt{s(s-a)(s-b)(s-c)}$ Where $s$ is the semi-perimeter of the triangle, which is half the perimeter of the triangle, and $a,b,c$ are the sides of the triangle. The perimeter of the triangle is the sum of the lengths of its sides, which is: $P = a + b + c$ Semiperimeter = $s = \frac{a+b+c}{2}$ $s = \frac{6+8+10}{2} = 12$ $A = \sqrt{12(12-6)(12-8)(12-10)}$ $ = \sqrt{12 \times 6 \times 4 \times 2}$ $ = \sqrt{576}$ $ = 24$ Hence, the correct answer is 24 cm 2 .
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The sides of a triangle are 20 cm, 48 cm, and 52 cm. What is the area of the triangle?
Question : The ratio of the sides of a triangle is 3 : 3 : 4. If the area of a triangle is $32 \sqrt{5}$ cm2, then what is the length of the equal sides?
Question : Find the area of the rhombus whose diagonals are 16 cm and 20 cm.
Question : What will be the volume of a sphere with a radius of 65 cm? (approximately)
Question : A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile