217k views
2 votes
the lengths of the three altitudes of a triangle are 6x,4x and 3x units respectively.if it's perimeter is 18 units then it's area is.

User Nate Thorn
by
7.9k points

1 Answer

3 votes
This is the concept of algebra, for us to calculate the area of the triangle we need the value of x. Therefore, we shall obtain this from the perimeter.

P=6x+4x+3x=18
13x=18
x=18/13
x=1.385
The length of the altitudes will be:
6x=6×1.385=8.31
4x=4×1.385=5.54
3x=3×1.385=4.155
the area will be given by Heron's formual:
Area=√[p(p-a)(p-b)(p-c)]
p=(a+b+2)/2
=(8.31+5.54+4.155)/2
=9.0025
therefore:
A=√[9.00(9-8.31)(9-5.54)(9-4.155)
A=104.64 sq. units
User Kstubs
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories