If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is : (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm
Answers
Answer:
13
Step-by-step explanation:
5^2+12^2= 25=144
169
root of 169 =13
Given :- two perpendicular side of a right angle triangle are 5 cm and 12 cm
To Find :- Perimeter = ?
Solution :-
Let us assume that, hypotenuse of the right angled ∆ is x cm .
so, using pythagoras theorem we get,
→ x² = 5² + 12²
→ x² = 25 + 144
→ x² = 169
→ x² = (13)²
→ x = 13 cm .
then,
→ perimeter of ∆ = Sum of all sides
→ Required perimeter = 5 + 12 + 13
→ Required perimeter = 30 cm (Ans.D)
Hence, perimeter of given right angled triangle is 30 cm .
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