Class 9 Herons Formula Quiz

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The name of the horizontal line in the Cartesian plane which determines the position of a point is called:

Origin

X-axis

Y-axis

Quadrants

Which of the following formula is used for finding the area of a triangle?

base $\times$ height

$\frac{1}{2}$ $\times$ base $\times$ height

$2$ $\times$ base $\times$ height

base + height

In Heron's formula $\sqrt{s(s-a)(s-b)(s-c)}$, what is the value of $s$ if $a,b,$ and $c$ are sides of the triangle?

$\frac{(a+b+c)}{4}$

$(a+b+c)$

$\frac{(a+b+c)}{2}$

$2a+2b+2c$

What is the area of the triangle having sides equal to $10$ cm, $16$ cm, and $24$ cm?

$25\sqrt{15}{\text{cm}}^2$

$35\sqrt{17}{\text{cm}}^2$

$15\sqrt{13}{\text{cm}}^2$

$15\sqrt{15}{\text{cm}}^2$

The sides of a triangle are in the proportion of $2:3:5$ and its perimeter is $200$ cm. The sides of this triangle are:

$20$ cm, $30$ cm, $50$ cm

$40$ cm, $60$ cm, $100$ cm

$80$ cm, $120$ cm, $200$ cm

None of These

The sides of a triangle are in the proportion of $2:3:5$ and its semi-perimeter is $200$ cm. The sides of this triangle are:

$20$ cm, $30$ cm, $50$ cm

$40$ cm, $60$ cm, $100$ cm

$80$ cm, $120$ cm, $200$ cm

None of These

The sides of a triangle are in the proportion of $2:3:5$ and its perimeter is $200\text{cm}$. The area of this triangle is:

$375\sqrt{23}{\text{cm}}^2$

$375\sqrt{21}{\text{cm}}^2$

$345\sqrt{23}{\text{cm}}^2$

$345\sqrt{21}{\text{cm}}^2$

If the perimeter of an equilateral triangle is $180\text{cm}$. Then its area will be:

$900{\text{cm}}^2$

$900\sqrt{3}{\text{cm}}^2$

$300\sqrt{3}{\text{cm}}^2$

$600\sqrt{3}{\text{cm}}^2$

The sides of a right-angled triangle are $122\text{m}$, $22\text{m}$, and $120\text{m}$ respectively. The area of the triangle is:

$1320{\text{m}}^2$

$1300{\text{m}}^2$

$1400{\text{m}}^2$

$1420{\text{m}}^2$

The third side of a triangle with given two sides $18\text{cm}$ and $10\text{cm}$, respectively and a perimeter equal to $42\text{cm}$ is:

$26\text{cm}$

$13\text{cm}$

$14\text{cm}$

$28\text{cm}$

The third side of a triangle with given two sides $9\text{cm}$ and $5\text{cm}$, respectively and a semi-perimeter equal to $21\text{cm}$ is:

$26\text{cm}$

$13\text{cm}$

$14\text{cm}$

$28\text{cm}$

The equal sides of the isosceles triangle are $12\text{cm}$, and the perimeter is $30\text{cm}$. The other side of this triangle is:

$5\text{cm}$

$6\text{cm}$

$7\text{cm}$

$8\text{cm}$

The area of an equilateral triangle of side $6\text{cm}$ is:

$900{\text{cm}}^2$

$18{\text{cm}}^2$

$9\sqrt{3}{\text{cm}}^2$

$56\sqrt{3}{\text{cm}}^2$

The base of a right triangle is $8\text{cm}$ and the hypotenuse is $10\text{cm}$. Its area will be:

$24{\text{cm}}^2$

$40{\text{cm}}^2$

$48{\text{cm}}^2$

$80{\text{cm}}^2$

The edges of a triangular board are $6\text{cm}$, $8\text{cm}$, and $10\text{cm}$. The cost of painting it at the rate of $9$ paise per ${\text{cm}}^2$ is:

Rs $2.00$

Rs $2.16$

Rs $2.48$

Rs $3.00$

The lengths of a triangle are $6\text{cm}$, $8\text{cm}$, and $10\text{cm}$. Then the length of perpendicular from the opposite vertex to the side whose length is $8\text{cm}$ is:

$4\text{cm}$

$6\text{cm}$

$5\text{cm}$

$2\text{cm}$

The length of each side of an equilateral triangle having an area of $9\sqrt{3}{\text{cm}}^2$ is:

$8\text{cm}$

$36\text{cm}$

$4\text{cm}$

$6\text{cm}$

If the area of an equilateral triangle is $16\sqrt{3}{\text{cm}}^2$, then the perimeter of the triangle is:

$48\text{cm}$

$24\text{cm}$

$12\text{cm}$

$36\text{cm}$

A triangular garden has sides $90\text{m}$, $140\text{m}$, and $80\text{m}$. A fence is to be put all around the garden. What will be the total cost of fencing at the rate of Rs $15$ per meter? A $5\text{m}$ wide space is to be left on one side for gate opening.

Rs $4525$

Rs $4975$

Rs $4575$

Rs $4230$

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

$225{\text{cm}}^2$

$225\sqrt{3}{\text{cm}}^2$

$225\sqrt{3}{\text{cm}}^2$

$450{\text{cm}}^2$

Quiz Result