Question

in a right angle triangle lenght of base is 5cm and its perpendicular is 3cm find the length of hypotenuse

Answer 1

Given:-

• Base ,b = 5 cm

• Perpendicular ,p = 3 cm

To Find:-

• Length of Hypotenuse ,h

Solution:-

we have to calculate the length of hypotenuse of the right angle triangle.

Using Pythagoras Theorem

• h² = p² + b²

where,

h denotes hypotenuse

p denotes perpendicular

b denotes base

Substitute the value we get

→ h² = 5² + 3²

→ h² = 25 + 9

→ h² = 36

→ h =√36

→ h = 6 cm

Therefore,the length of the hypotenuse is 6 cm.

Answer 2

Answer:

Given :-

• Base of triangle = 5 cm
• Perpendicular of triangle = 3 cm

To Find :-

Length of Hypotenuse

Solution :-

As we know that

$\huge \mathfrak {h {}^{2} = {b}^{2} + {p}^{2} }$

Here,

H = Hypotenuse

B = Base

P = Perpendicular

$\sf \: {h}^{2} = {5}^{2} + {3}^{2}$

$\sf \: {h}^{2} = 25 + 9$

$\sf \: {h}^{2} = 34$

$\sf \: h = \sqrt{34}$

$\sf \: h \: \approx \: 5.83 \: cm$

Hence,

The Hypotenuse of triangle is 5.83 cm