An 150 scales triangle has perimeter 30cm and each of the equal sides is 12cm. Find the area of the triangle.​

2 thoughts on “An 150 scales triangle has perimeter 30cm and each of the equal sides is 12cm. Find the area of the triangle.​”

1. Perimeter of isosceles triangle=30cm

   Length of equal sides=12cm

   Let third side of triangle=xcm

   According to problem,

   x+12+12=30

   x+24=30

   x=30−24

   x=6

   ∴ Third side of triangle=6cm

   Using Heron’s formula

   [tex]area \: of \: traingle = \sqrt{s(s – a)(s – b)(s – c)} sq \: units[/tex]

   where a+b+c/2

   s = 30 / 2 = 15

   [tex]area \: of \: triangle \: \sqrt{15(15 – 12)(15 – 12)(15 – 6)cm } \\ \sqrt{15 \times 3 \times 3 \times 9cm ^{2} } \\ 3 \times 3 \times \sqrt{15cm^{2} } \\ = 9 \sqrt{15cm ^{2} } \\ area \: of \: triangle \: = 9 \sqrt{15cm ^{2} } [/tex]

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2. Answer:

   apne ghar pr hoon

   tum chahte ho ki mein koi question puchu

   if yes then only thanks me

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