Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Get the information you need from our experts, who provide reliable and detailed answers to all your questions.

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]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.