Question

In a right angled triangle, one side is equal to 15 CM and the other equal to 20cm. Find out length of the the hypotenise side .
solve them and answer is perimeter 68cm​

Answer 1

Answer:

★ Length of hypotenuse = 25 cm

Step-by-step explanation:

★ Given that:

There is a right angled triangle.

➤ Whose,

• One side = 15 cm
• Other side = 20 cm

★ Let us suppose that:

• Perpendicular = 15 cm
• Base = 20 cm

★ To find:

• Length of the hypotenuse.

★ Formula of to find hypotenuse:

➤ Using Pythagoras theorem,

H² = B² + P²

➤ Where,

• H = Hypotenuse
• B = Base
• P = Perpendicular

★ Finding the length of hypotenuse:

H² = (20)² + (15)²

→ H² = 400 + 225

→ H² = 625

→ H² = (25)²

→ H = 25

∴ Hypotenuse = 25 cm

Answer 2

Gɪᴠᴇɴ :

In a right angle triangle,

• Length of one side is 15 cm.

• Length of other side is 20 cm.

Lᴇᴛ,

➣ Height (h) of the right angle triangle is 15 cm.

➣ Base (b) of the right angle triangle is 20 cm.

Tᴏ Fɪɴᴅ :

1. Length of the hypotenuse.
2. Perimeter.

Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :

↝ Using Pythagoras theorem,

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

$\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{(Hypotenuse)^2\:=\:(Height)^2\:+\:(Base)^2\:}}}}}}$

➛ $\sf{(Hypotenuse)^2\:=\:(15)^2\:+\:(20)^2\:}$

➛ $\sf{(Hypotenuse)^2\:=\:225\:+\:400\:}$

➛ $\sf{(Hypotenuse)^2\:=\:625\:}$

➛ $\sf{Hypotenuse\:=\:\sqrt{625}\:}$

➛ $\bf\pink{Hypotenuse\:=\:25\:cm}$

$\Large\bf{Therefore,}$

❶ The length of the hypotenuse is 25 cm.

Aɢᴀɪɴ,

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ Perimeter of the right angle triangle is,

$\pink\bigstar\:\:{\underline{\green{\boxed{\bf{\purple{Perimeter\:=\:Sum\:of\:3\:sides\:}}}}}}$

Wʜᴇʀᴇ,

• 3 sides are,

1. Hypotenuse
2. Height
3. Base

⇒ $\sf{Perimeter\:=\:(25\:+\:15\:+\:20)\:cm\:}$

⇒ $\bf\blue{Perimeter\:=\:60\:cm}$

$\Large\bf{Therefore,}$

❷ Perimeter of the right angle triangle is 60 cm.