Question

An isosceles right-angled triangle whose each equal side measures $17$ cm. The measure of third sides is -
$(\text{Given:}\sqrt{2}=1.414)$

• A. $24.038$ cm
• B. $24$ cm
• C. $24.38$ cm
• D. $25$ cm

Answer 1

The correct option is A $24.038$ cm


Here, base and altitude of the triangle is $17$ cm each.
Let the hypotaneous of triangle be $x$ cm.
Now, applying Pythagoras theorem,
$x^2={17}^2+{17}^2$
$\Rightarrow x^2=2\times (17{)}^2$
(taking square root on both side)
$\Rightarrow x=17\sqrt{2}$
$\Rightarrow x=17\times 1.414$
$\Rightarrow x=24.038$ cm

Hence, option$\left(a\right)$ correct.