Math, asked by arshvinayakkamboj, 4 months ago

find the area of triangle whose sides are 5 and 6 cm and base is 4 cm​

Answers

Answered by MayankJha05
0

Answer:

the answer is 15/4(7)^-2 cm^2

Answered by Eutuxia
2

Answer:

 \frac{15}{4}   {7cm}^{2}

Step-by-step explanation:

Given :

a \:  =  \: 5 \: cm

b \:  = 6 \: cm \:

c \:  =  \: 4 \: cm

s=  \frac{a + b + c}{2}  =  \frac{5 + 6 + 4}{2}  =  \frac{15}{2}

 ∴ area  \: of \: the \: triangle \:  =  \\   \\  \sqrt{s} (s - a)(s - b)(s - c) \\  \sqrt{ \frac{15}{2} }  \times  \frac{15}{2} - 4 \: ( \frac{15}{2}  - 5) \: ( \frac{15}{2}  - 6) \\  =  \sqrt{ \frac{15}{2} }  \times  \frac{7}{2}  \times  \frac{5}{2}  \times  \frac{3}{2}  =  \frac{15}{4}  \sqrt{7cm {}^{2} }

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