Question

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

Answer 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

$area \: of \: traingle = \sqrt{s(s - a)(s - b)(s - c)} sq \: units$

where a+b+c/2

s = 30 / 2 = 15

$area \: of \: triangle \: \sqrt{15(15 - 12)(15 - 12)(15 - 6)cm } \\ \sqrt{15 \times 3 \times 3 \times 9cm ^{2} } \\ 3 \times 3 \times \sqrt{15cm^{2} } \\ = 9 \sqrt{15cm ^{2} } \\ area \: of \: triangle \: = 9 \sqrt{15cm ^{2} }$

Answer 2

Answer:

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