Question

In a right angled triangle, the length of base and perpendicular are 6 cm and 8 cm, then the length of hypotenuse is ________

Answer 1

Answer:

• Length of Hypotenuse is 10 cm.

Step-by-step explanation:

Given :-

• Base is 6 cm.
• Perpendicular is 8 cm.

To find :-

• Length of hypotenuse.

Solution :-

Here,

We will use Pythagoras theorem that is :

• Pythagoras theorem is the theorem which states that square of hypotenuse is equal to the sum of squares of the other two sides of right angle triangle.
• Hypotenuse is the longest side of right angle triangle. This side is opposite to 90° angle.
• Formula of Pythagoras theorem is: Hypotenuse² = Base² + Perpendicular²

So,

Put all values in Pythagoras theorem :

$\longrightarrow$ Hypotenuse² = (6)² + (8)²

$\longrightarrow$ Hypotenuse² = 36 + 64

$\longrightarrow$ Hypotenuse² = 100

$\longrightarrow$ Hypotenuse = √100

$\longrightarrow$ Hypotenuse = 10

Therefore,

Length of Hypotenuse is 10 cm.

Answer 2

Answer:

Given :-

• In a right angled triangle, the length of base and perpendicular are 6 cm and 8 cm respectively.

To Find :-

• What is the length of hypotenuse.

Formula Used :-

By using Phythagorus Theorem we know that,

★ (h)² = (b)² + (p)² ★

where,

• h = Hypotenuse
• b = Base
• p = Perpendicular

Solution :-

Given :

• Base = 6 cm
• Perpendicular = 8 cm

According to the question by using the formula we get,

⇒ (h)² = (6)² + (8)²

⇒ (h)² = 36 + 64

⇒ (h)² = 100

⇒ h = √100

➠ h = 10 cm

∴ The length of hypotenuse is 10 cm .