The area of a triangle whose sides are 15 , m | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the sides of the triangle be $a = 15 \, m$,$b = 16 \, m$,and $c = 17 \, m$.First,calculate the semi-perimeter $s$:$s = \frac{a + b + c}{2} = \

Vedclass · Accepted Answer

$24 \sqrt{21} \, m^{2}$

Vedclass · Answer

(C) Let the sides of the triangle be $a = 15 \, m$,$b = 16 \, m$,and $c = 17 \, m$.First,calculate the semi-perimeter $s$:$s = \frac{a + b + c}{2} = \frac{15 + 16 + 17}{2} = \frac{48}{2} = 24 \, m$.Using Heron's formula,the area of the triangle is given by:$	ext{Area} = \sqrt{s(s - a)(s - b)(s - c)}$Substitute the values:$	ext{Area} = \sqrt{24(24 - 15)(24 - 16)(24 - 17)}$$	ext{Area} = \sqrt{24 	imes 9 	imes 8 	imes 7}$$	ext{Area} = \sqrt{12096} = \sqrt{576 	imes 21} = 24 \sqrt{21} \, m^{2}$.

The area of a triangle whose sides are $15 \, m$,$16 \, m$,and $17 \, m$ is

Similar Questions

The ratio of length and breadth of a rectangular plot is $8:5$ respectively. If the breadth is $60\, m$ less than the length,what is the perimeter of the rectangular plot? (in $m$)

The length of a rectangle is increased by $33.33 \%$. By what percent should the width be decreased to maintain the same area? (in $\%$)

$A$ wire is in the form of a circle of radius $42 \ cm$. It is bent into a square. The side of the square is? (in $cm$)

The perimeter of an isosceles triangle is $14 \ cm$. The ratio of the lateral side to the base is $5:4$. The area of the triangle is:

Three sides of a triangular field are $20\, m$,$21\, m$,and $29\, m$ long,respectively. The area of the field is.......$m^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module