Question

three sides of a triangle are 35 cm 53 cm and 66 cm find its area
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Answer 1

A=924cm²

a(Side)=35cm

b(Base )=53cm

c (Side)=66cm

Using the formulas

$area = \sqrt{s(s - a)(s - b)(s - c)}$

$s = \frac{a + b + c}{2}$

Solving forA

$a = \frac{1}{4} \sqrt{ - a { }^{4} + 2(ab) { }^{2} + 2(ac) {}^{2} - b {}^{4} + 2(bc ){}^{2} - c {}^{4} }$

$= \frac{1}{4 } \sqrt{ - 35 {}^{4} + 2(35 \times 53) {}^{2} + 2 (35 \times 66) {}^{2} - 53 {}^{4} + 2(53 \times 66) {}^{2} - 66 {}^{4} }$

=924cm²