Question

if two perpendicular sides of a right-angled triangle are 5 cm and 12cm, it's perimeter is (a) 13cm (b) 17cm (c) 27cm (d)30cm​

Answer 1

${\huge{\underline{\large{\mathbb{\green{VERIFIED \: ANSWER}}}}}}$

Option (A) 13 cm

13

Step-by-step explanation:

5^2+12^2= 25=144

169

root of 169 is 13 cm

Answer 2

${\large{\bf{\red{\underline{\underline{\pmb{\mathfrak{Given :}}}}}}}}$

Two perpendicular sides of a right angled triangle :

• 5cm
• 12cm

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${\large{\bf{\blue{\underline{\underline{\pmb{\mathfrak{To Find :}}}}}}}}$

• Perimeter = ?

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${\large{\bf{\purple{\underline{\underline{\pmb{\mathfrak{Solution :}}}}}}}}$

Formula :

${\red{\bigstar{\orange{\underbrace{\underline{\bf{Perimeter = \frac{1}{2} \times b \times h }}}}}}}$

Here,

• B = Base = 5cm
• H = Height = 12cm

Now,

${\mapsto{\bf{Perimeter = \frac{1}{2} \times b \times h}}}$

${\leadsto{\sf{Perimeter = \frac{1}{\cancel{2}} \times 5 \times {\cancel{\cancel12}}}}}$

${\leadsto{\sf{Perimeter = 1 × 5 × 6}}}$

30 cm

So,

${\red{\underline{\purple{\underline{\red{\mathfrak{Perimeter = 30 \: cm}}}}}}}$

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