Question

37.In a right triangle ABC
angle B = 90°, if AB = 6cm, BC = 8cm, find AC.​

Answer 1

Answer:

AC = 10 cm

Step-by-step explanation:

Triangle ABC is a Right Angled Triangle since One Angle is of 90°

$\textbf{\underline{\underline{Given\:In\:The\:Question :}}}$

Angle B = 90°

$\sf \: AB = 6 \: cm$

$\sf \: BC = 8 \: cm$

Here,Base i.e BC = 8 cm and Perpendicular i.e AB = 6 cm. We have To find Hypotenuse By Pythagoras Theorem

$\textbf{\underline{\underline{Pythagoras\:Theorem:}}}$

$\sf \:( {Hypotenuse})^{2} = ({Base})^{2} + ({Perpendicular})^{2}$

[ Hypotenuse = AC ]

$\sf \: ({AC})^{2} =( {BC})^{2} + ({AB})^{2}$

$\sf \: ( {AC})^{2} = {8}^{2} + {6}^{2}$

$\sf \:( {AC})^{2} = 64 + 36$

$\sf \: ({AC})^{2} = 100$

$\sf \: AC = \sqrt{100}$

$\boxed{\boxed{\AC\: = 10\:cm}}$

Answer 2

Answer:

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