Question

find the semi perimeter of a triangle whose sides are 25cm, 5cm,and 24cm.​

Answer 1

Answer:

Hiii..

___________________________

Here is ur answer :-

➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️

Given,

sides of triangle = 25cm, 5cm, 24cm

Semi perimeter = 25 + 5 + 24/2

= 54/2

= 27cm

⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️

Hope it helps u!! ✔️✔️

Answer 2

$\underline\blue{\bold{Given \: Question :- }}$

• Find the semi perimeter of a triangle whose sides are 25cm, 5cm,and 24cm.

___________________________________________

$\huge \orange{AηsωeR} ✍$

$\large{\boxed{\boxed{\bf{Given \: that}}}}$

• Three sides of a triangle are 25 cm, 5 cm and 24 cm.

$\large{\boxed{\boxed{\bf{To \: find}}}}$

• Semi-perimeter of a triangle.

____________________________________________

Theory and Definition :-

• Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.

What is the Perimeter of a Triangle?

• The sum of the lengths of the sides is the perimeter of any polygon.
• In the case of a triangle,Perimeter = Sum of the three sides

Properties

• A triangle has three sides and three angles.

• The sum of the angles of a triangle is always 180 degrees.

• The exterior angles of a triangle always add up to 360 degrees.

• The sum of consecutive interior and exterior angle is supplementary.

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Similarly, the difference between the lengths of any two sides of a triangle is less than the length of the third side.

• The shortest side is always opposite the smallest interior angle. Similarly, the longest side is always opposite the largest interior angle.

_____________________________________________

${ \boxed {\bf{Formula \: used :- }}}$

$\underline{\boxed{\sf Semi \: Perimeter \ of \ a \ triangle= \dfrac{1}{2} (a+b+c)}}$

where,

• a represents the first side of triangle
• b represents the second side of triangle
• c represents the third side of a triangle

____________________________________________

$\large{\boxed{\boxed{\bf{Solution}}}}$

Let us consider that three sides of triangle be represented by a, b and c.

$\begin{gathered}\begin{gathered}\bf So = \begin{cases} &\sf{a = 25 \: cm} \\ &\sf{b \: = 5 \: cm} \\ &\sf{c \: = 24 \: cm} \end{cases}\end{gathered}\end{gathered}$

So, Semi-perimeter of a triangle is given by

$\underline{\boxed{\sf Semi \: Perimeter \ of \ a \ triangle= \dfrac{1}{2} (a+b+c)}}$

$\sf \: ⟼Semi-perimeter \: = \dfrac{1}{2} (25 + 5 + 24)$

$\sf \: ⟼Semi-perimeter = \dfrac{1}{2} \times 54$

$\sf \: ⟼Semi-perimeter \: of \: a \: triangle = 27 \: cm$

_____________________________________________