M.C.Q

MCQ 2011 Mark

Area of the triangle is equal to:.

A
Base $\times$ height
B
$2($Base $\times$ height$)$
✓
$\frac{1}{2}($Base $\times$ height$)$
D
$\frac{1}{2}($Base $+$ height$)$

Answer

Correct option: C.

$\frac{1}{2}($Base $\times$ height$)$

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MCQ 2021 Mark

The base of an isosceles right triangle is $30\ cm.$ Its area is:

A
$225\text{cm}^2$
B
$225\sqrt{3}\text{cm}^2$
C
$225\sqrt{2}\text{cm}^2$
✓
$450\text{cm}^2$

Answer

Correct option: D.

$450\text{cm}^2$

Let $ABC$ be the right triangle in which $\angle\text{B}=90^\circ$
Now, base $= BC;$ Perpendicular $= AB;$ Hypotenuse $= AC$
Now, $BC = 30\ cm ($given$)$
Now, $\triangle \text{ABC}$ is an isosceles right angled $\triangle$ and we know that hypotenuse is the longest side of the right $\triangle m. $
So, $AB = BC = 30\ cm$
Area of $\triangle\text{ABC}=\frac12\times\text{base}\times\text{height}$
$=\frac12\times\text{BC}\times\text{AB}$
$=\frac12\times30\times30$
$=450\text{cm}^2$

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Maths M.C.Q