the perimeter of a triangular field is 135cm and its sides are in the ratio 25:17:12. find ots area. pls give the ans
Answers
Answered by
5
Step-by-step explanation:
Given Perimeter of △=135 cm
So, semiperimeter (s)=135/2=67.5 cm
Let the sides of △ be 25x,17x and 12x
⇒ 25x+17x+ 12x=135 cm
⇒54x=135 cm
⇒x=2.5
So, sides are: 25×2.5=62.5 cm
17×2.5=42.5 cm
12×2.5=30 cm
Heron;s formula=√s(s−a)(s−b)(s−c), where a,b and c are the sides of △.
=√67.5 ×(67.5−62.5)×(67.5−42.5)×(67.5−30)
=√67.5×5×25×37.5
=562.5 cm²
Hope this helps you. Thank you and please follow me and mark me the brainliest.
Answered by
2
Answer:
My friend, 562.5 cm² is the correct answer.
Hope this answer helps you. Thank you and please follow me to get answers to all your questions and mark this as the Brainliest answer if it's worth that.
Similar questions