Answer:
84 cm² and 272 cm² (3 sf)
Step-by-step explanation:
Use Heron's formula.
Area = [tex]\sqrt{p(p-a)(p-b)(p-c)} [/tex]
where a, b, and c are the lengths of the sides of the triangle
and [tex]p=\frac{a+b+c}{2} [/tex]
(i) [tex]p=\frac{13+14+15}{2}=21 [/tex]
Area = [tex]\sqrt{21(21-13)(21-14)(21-15)} = 84[/tex] cm²
(ii) [tex]p=\frac{103+115+13}{2}=115.5[/tex]
Area = [tex]\sqrt{115.5(115.5-103)(115.5-115)(115.5-13)} = \frac{ \sqrt{1183875}}{4} =272[/tex] cm² (3 sf)
