Question

find the hypotenuse if base is 6 cm and perpendicular is 4.5 cm

Answer 1

Answer:

Hypotenuse is 7.5 cm.

Step-by-step explanation:

Given :

Base = 6 cm

Perpendicular = 4.5 cm

To find :

The hypotenuse

Solution :

Hypotenuse is the the longest side of a right-angled triangle.

$\bigstar \: {\boxed{\sf{(Hypotenuse)^{2} = (Base)^{2} + (Height)^{2}}}}$

$\tt{\implies} \: (Hypotenuse)^{2} = {6}^{2} + {4.5}^{2} \\ \\ \tt{\implies} \: (Hypotenuse)^{2} =36 + 20.25 \\ \\ \tt{\implies} \: (Hypotenuse)^{2} =56.25 \\ \\ \tt{\implies} \: Hypotenuse = \sqrt{56.25} \\ \\ \tt{\implies} \: Hypotenuse =7.5$

Hypotenuse = 7.5 cm

$\therefore$ Hypotenuse is 7.5 cm.

Answer 2

||✪✪ QUESTION ✪✪||

find the hypotenuse if base is 6 cm and perpendicular is 4.5 cm.. ?

|| ★★ FORMULA USED ★★ ||

☛ In a Right Angled ∆, Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

☛ If you need to find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. if you know the length of the other two sides,, Square the length of the 2 sides, called base and Perpendicular, then add them together. Take the square root of the result to get the hypotenuse.

(Perpendicular)² + (Base)² = (Hypotenuse)²

|| ✰✰ ANSWER ✰✰ ||

we have given that ,

⟿ Base = 6cm.

⟿ Perpendicular = 4.5cm.

Putting values now in Pythagoras theoram , we get,

☞ (Hypotenuse)² = 6² + (4.5)²

☞ (Hypotenuse)² = 36 + 20.25

☞ (Hypotenuse)² = 56.25

Square - Root both sides now,

☞ Hypotenuse = √(56.25)

☞ Hypotenuse = √(7.5*7.5)

☞ Hypotenuse = 7.5cm.

Hence, Hypotenuse of the right ∆ is 7.5cm.