if two perpendicular side of a right angle triangle are 5 cm and 12 CM its perimeter is ________
Answers
Answer:It is clear that the triangle is a right angled triangle.
Let AB=12 cm BC=5 cm and AC=13 cm
Now a perpendicular is drawn from A to AC.
a
r
(
A
B
C
)
=
½
A
B
⋅
B
C
=
½
C
A
⋅
B
D
.
B
D
=
A
B
⋅
B
C
C
A
Putting the respective values of the sides we get,
B
D
=
60
13
cm
You can also apply the heron's formula to get the answer to the question.
Step-by-step explanation:
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.)
Hence, perimeter of given right angled triangle is 30 cm .
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