Question

find the area of the triangle whose sides are 8, 9, 13 m(Herons formula)
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Answer 1

Answer:

s=a+b+c/2

= 8+9+13/2=30/2

=15m

Area of the triangle = √s(s-a)(s-b)(s-c)

=√15(15-8)(15-9)(15-13) m²

= √15*7*6*2 m²

=√5*3*7*2*3*2. m²

= 3*2√7*5. m²

= 6√35 m²

Hope it helps you !!!!!

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Area\:of\:triangle=35.49\:m}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Sides \: of \: triangle = 8 m,9 m,13 m} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Area \: of \: triangle = ?}$

• According to given question :

$\bold{As \: we \: know \: that \: herons \: formula} \\ : \implies s = \frac{a + b + c}{2} \\ \\ : \implies s = \frac{8+ 9+ 13}{2} \\ \\ : \implies s = \frac{30}{2} \\ \\ \green{ : \implies s = 15} \\ \\ \circ\: \bold{Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} } \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{15(15- 8)(15-9)(15- 13)} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{15 \times 7\times 6\times 2} \\ \\ : \implies \text{Area \: of \: triangle =} \sqrt{1260} \\ \\ : \implies \text{Area \: of \: triangle =}35.49 \: m^{2} \\ \\ \ \green{\therefore \text{Area \: of \: triangle = 35.49 {m}}^{2} }$