Question

Two sides of a scalene triangle measure 15 cm and 12 cm . if the primetre of the triangle is 40 cm , find the length of the third side

Answer 1

Answer:

13 cm

Step-by-step explanation:

lengths given = 15 = 12 cm = 27 cm

We know that the perimeter = 40 cm

So, length of one side equals 40 - 27 cm

40 - 27 = 13

Therefore, the length of the third side equals 13 cm

Answer 2

$\bf\underline{\underline{\green{SOLUTION:-}}}$

Question

• Two sides of a scalene triangle measure 15 cm and 12 cm . if the primetre of the triangle is 40 cm , find the length of the third side?

Answer

• Third side = 13cm

Given

• Two Sides are 15cm and 12cm
• Perimeter = 40cm

To Calculate

• Third Side __?

Step by step explanation

Two Sides are 15cm and 12cm ( Given)

Perimeter = 40 cm ( Given)

Let third side be x

${\boxed{\red{\tt{Perimeter = Sum \: Of \: all \: Sides }}}}$

$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⟹ \: 40 = x + 12 + 15 \\ \\ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⟹ \: 40 = x + 27 \\ \\ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ \: ⠀⠀⠀⠀⟹ \: x = 40 - 27 \\ \\ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⟹x = 13$

$\bf\underline{\underline{\green{HENCE:-}}}$

• Third Side be 13cm

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⠀⠀⠀⠀⠀⠀⠀$\bf\underline{\underline{\purple{Additional\:Information}}}$

• Area of triangle = 1/×b×h

Where

b = breadth

h = height

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