the semi- perimeter of a triangle is 10 cm . if one of its side is 5cms and 7 cms respectively then its third side is
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171
Appropriate Question:
- Two sides of a triangle are 5 cm and 7 cm and its semi-perimeter is 10 cm. Then the third side of the triangle is?
Given:
- Semi Perimeter of a triangle is 10 cm.
- Two sides of triangle are 5 cm and 7 cm respectively.
To find:
- The third side of the triangle.
Solution: Let the third side of the triangle be c cm and other sides be a is 5 cm and b is 7 cm respectively.
As we know that,
★ Semi perimeter = Sum of all sides (a + b + c)/2 ★
S = 5 + 7 + c/2
10 = 12 + c/2
c = 20 - 12
c = 8 cm ★
•°• Hence, the third side of the triangle is 8 cm.
⠀⠀⠀⠀⠀⠀ ⠀⠀⠀★ MORE TO KNOW :
- A triangle is a shape with the three straight sides.
- Sum of all angles of the triangle is 180°.
- Area of right triangle = 1/2 × (Base) × (Height)
- Perimeter of triangle = (a + b + c). Here, a, b and c are the sides of triangle.
Answered by
130
Answer:
Given :-
- The semi-perimeter of a triangle is 10 cm. One of its side is 5 cm and 7 cm respectively.
To Find :-
- What is the third side of a triangle.
Formula Used :-
Solution :-
Let, the third side of a triangle be c cm.
Given :
- First side (a) = 5 cm
- Second side (b) = 7 cm
According to the question by using the formula we get,
⇒
⇒
⇒
⇒
➠
The third side of a triangle is 8 cm .
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