Question

Two sides of a triangle are 16 cm and 22 cm and perimeter of triangle is 64 cm. Then the value of S (semi perimeter) is:​

Answer 1

GIVEN:

• Two sides of triangle are 16 cm and 22 cm
• Perimeter of the triangle is 64 cm

TO FIND:

• What is the Semi perimeter of triangle ?

SOLUTION:

Let the third side of the triangle be 'x' cm

To find the perimeter of the triangle, we use the formula:-

$\large{\boxed{\bf{\star \: P = Side + Side + Side \: \star}}}$

${\underline{\underline{\bf{According \: To \: Question:-}}}}$

➠ 64 = 16 + 22 + x

➠ 64 = 38 + x

➠ 64 –38 = x

❮ 26 cm = x ❯

Now, we know that, the formula for finding the Semi perimeter of triangle is:-

$\large{\boxed{\bf{\star \: s = \dfrac{a + b + c}{2} \: \star}}}$

• a = 16 cm
• b = 22 cm
• c = 26 cm

${\underline{\underline{\bf{According \: To \: Question:-}}}}$

➠ s = $\sf{\dfrac{16 + 22 + 26}{2}}$

➠ s = $\sf{\cancel\dfrac{64}{2}}$

❮ s = 32 cm ❯

❝ Hence, the Semi perimeter of triangle is 32 cm ❞

______________________

Answer 2

Answer :

$\Large\bold{\underline{\textsf{\pink{Given:}}}}$

• Two sides of triangle = 16 cm and 22 cm

• Perimeter of triangle = 64 cm

$\Large\bold{\underline{\textsf{\pink{To\:Find:}}}}$

• Semi - perimeter of triangle

$\Large\bold{\underline{\textbf{\pink{Solution:}}}}$

Now , Third side = Perimeter - Sum of two sides

▶Third side = 64 - (16+22)

▶ Third side = 64 - (38)

▶ Third side = 26

☯ FORMULA USED -

$\bold{\boxed{\boxed{\mathtt{\red{Semi-Perimeter\:=\: \dfrac{a\:+\:b\:+\:c}{2}}}}}}$

• Semi - Perimeter = $\dfrac{16\:+\:22\:+\:26}{2}$

• Semi - Perimeter = $\dfrac{64}{2}$

$\large{\boxed{\mathtt{\pink{Semi-Perimeter\:=\:32\:cm}}}}$

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