Question

Height and base of a right angled triangle are 24 cm and 18 cm, find
the length of its hypotenuse.​

Answer 1

Step-by-step explanation:

Height of a right angled∆=23cm

Base ,, ,, ,, ,, ,, =18cm

hypotenuse=?

Applied Pythagoras theorem .

AC sq. = AB sq. +BC sq.

=324+ 576

=900

AC =30

hypotenuse=30cn

Answer 2

★ Given:-      

• → Height - 24 cm
• → Base - 18 cm

★ To find:-      

• → The length of its hypotenuse

★ Solution:-    

Here, we have given that the Height and base of a right-angled triangle are 24 cm and 18 cm, respectively.

So to find out the length of its hypotenuse we will use The Pythagoras Theorem.

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)^{2}\:=\:\bigg(\:Base\:\bigg)^{2}\:+\:\bigg(\:Height\:\bigg)^{2}}$

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)^{2}\:=\:\bigg(\:18\:\bigg)^{2}\:+\:\bigg(\:24\:\bigg)^{2}}$

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)^{2}\:=\:\bigg(\:324\:\bigg)+\:\bigg(\:576\:\bigg)}$

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)^{2}\:=\:\bigg(\:900\:\bigg)}$

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)\:=\:\sqrt{900} }$

$\qquad\tt{:\implies\:\bigg(\:Hypotenuse\:\bigg)\:=\:30\:cm}$

$.\:°\:.\:\underline{\pmb{The\:length\:of\:its\:hypotenuse\:is\:30\:cm\:.}}$

✰ Please see this answer from the website of brainly or copy-paste this  (https://brainly.in/question/32546536) on your browser .