Mark ( ) against the correct answer: , is an isosceles right tria… - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer:
$\triangle\text{ABC},$ is an isosceles right triangle in which $\angle\text{A}=90^\circ$ and BC = 6cm. Then AB = ?

A
$2\sqrt{2}\text{cm}$
✓
$3\sqrt{2}\text{cm}$
C
$4\sqrt{2}\text{cm}$
D
$2\sqrt{3}\text{cm}$

✓

Answer

Correct option: B.

$3\sqrt{2}\text{cm}$

$3\sqrt{2}\text{cm}$

Here, $A B=A C$

In right angled isoceles triangle:

$BC^2=AB^2+AC^2$

$\Rightarrow BC^2=2 AB^2$

$\Rightarrow 36=2 AB^2$

$\Rightarrow AB{ }^2=\frac{36}{2}$

$\Rightarrow AB=\sqrt{18}$

$\Rightarrow AB=3 \sqrt{2} cm$

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