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What is the area of the following figure if a = 13, b = 5, and c = 12?

Sagot :

Hrishiiidn

Answer:

[tex]A(\triangle)=30\: units^2[/tex]

Step-by-step explanation:

  • Measures of the sides of the triangle are given as:
  • a = 13, b = 5 and c = 12

  • Now, find semi perimeter (s) of the triangle, it is given as below:

  • [tex] s=\frac{a+b+c}{2}=\frac{13+5+12}{2}=\frac{30}{2}=15[/tex]

  • Formula for area of triangle is given as:

  • [tex]A(\triangle)=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

  • [tex]\implies A(\triangle)=\sqrt{15(15-13)(15-5)(15-12)}[/tex]

  • [tex]\implies A(\triangle)=\sqrt{15(2)(10)(3)}[/tex]

  • [tex]\implies A(\triangle)=\sqrt{900}[/tex]

  • [tex]\huge{\orange{\implies A(\triangle)=30\: units^2}}[/tex]
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