Question

find the hypotenuse of a right triangle whose base is 2.5 cm and perpendicular is 6 cm​

Answer 1

Answer:

6.5 cm

Step-by-step explanation:

By applying Pythagoras Theorem,

a² + b² = c²

6² + 2.5² = c²

c² = 36 + 6.25

c² = 42.25

c = √42.25 = 6.5 cm

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Answer 2

Length of the Hypotenuse is 6.5 cm

Step-by-step explanation:

We Have :-

Right Angled Triangle

Base = 2.5 cm

Perpendicular = 6 cm

To Find :-

Hypotenuse

Method And Formula Used :-

Pythagoras Theorem

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

Solution :-

$using \: pythagoras \: theorem \\ \\ ( \: hypotenuse \: )^{2} = {( \: base \: )}^{2} + {( \: perpendicular \: )}^{2} \\ \\ {( \: hypotenuse \: )}^{2} = {( \: 2.5 \: )}^{2} + {( \: 6 \: )}^{2} \\ \\ {( \: hypotenuse \: )}^{2} = 6.25 + 36 \\ \\ {( \: hypotenuse \: )}^{2} =42.25 \\ \\ hypotenuse = \sqrt{42.25} \\ \\ hypotenuse = 6.5 \: cm$

Length of the Hypotenuse is 6.5 cm