Answer:
[tex]A(\triangle)=30\: units^2[/tex]
Step-by-step explanation:
- Measures of the sides of the triangle are given as:
- a = 13, b = 5 and c = 12
- Now, find semi perimeter (s) of the triangle, it is given as below:
- [tex] s=\frac{a+b+c}{2}=\frac{13+5+12}{2}=\frac{30}{2}=15[/tex]
- Formula for area of triangle is given as:
- [tex]A(\triangle)=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
- [tex]\implies A(\triangle)=\sqrt{15(15-13)(15-5)(15-12)}[/tex]
- [tex]\implies A(\triangle)=\sqrt{15(2)(10)(3)}[/tex]
- [tex]\implies A(\triangle)=\sqrt{900}[/tex]
- [tex]\huge{\orange{\implies A(\triangle)=30\: units^2}}[/tex]
