Question

Height and base of a right angle triangle are 24cm and 18 cm respectively find the length of its hypotenuse.
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Answer 1

Step-by-step explanation:

In triangle ABC

ab=24

BC=18

CA=?

(24)²+(18)²=CA ²

576+900=900

and 900=(30)²

length of hypotenuse will be30 cm

hopefully this will help you

Answer 2

$\sf Given \begin{cases} & \sf{Prependicular = \bf{24\;cm}} \\ & \sf{Base = \bf{18\;cm}} \end{cases}$

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Need to find: Length of the hypotenuse of a right angled triangle.

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☯ Let the length of the hypotenuse of a right angle triangle be x.

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$\sf\underline{\bigstar\;Using\; Pythagoras\; theorem\;:}$

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$\star\;{\boxed{\sf{\purple{(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2}}}}$⠀⠀⠀

Where,

• H = hypotenuse.
• B = base.
• P = perpendicular (height)

$:\implies\sf (H)^2 = (18)^2 + (24)^2$

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$:\implies\sf H^2 = 324 + 576$

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$:\implies\sf H^2 = 900$

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$:\implies\sf H = \sqrt {900}$

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$:\implies{\boxed{\sf{\pink{H = 30\;cm}}}}\;\bigstar$

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$\therefore\;{\underline{\sf{Hence,\; Height\;or\; Perpendicular\;of\; given\;triangle\;is\; \bf{30\;cm}.}}}$

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