Question

two sides of a triangle are 5 cm and 13 cm and its perimeter is 30 cm the area of the traiangle is

Answer 1

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Answer 2

Solve for area

A=30cm²

a Side

5

cm

b Base

13

cm

P Perimeter

30

cm

Using the formulas

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forA

A=1

4﹣P4+4P3a+4P3b﹣4(Pa)2﹣12P2ab﹣4(Pb)2+8Pa2b+8Pab2=1

4·﹣304+4·303·5+4·303·13﹣4·(30·5)2﹣12·302·5·13﹣4·(30·13)2+8·30·52·13+8·30·5·132=30cm²