(D) Let the sides of the right-angled triangle be $a$,$b$,and $c$,where $c$ is the hypotenuse.Given: $c = 29\,cm$ and $a = 21\,cm$.Using the Pythagore

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(D) Let the sides of the right-angled triangle be $a$,$b$,and $c$,where $c$ is the hypotenuse.Given: $c = 29\,cm$ and $a = 21\,cm$.Using the Pythagorean theorem: $a^2 + b^2 = c^2$.$21^2 + b^2 = 29^2$.$441 + b^2 = 841$.$b^2 = 841 - 441 = 400$.$b = \sqrt{400} = 20\,cm$.The perimeter of the triangle is $P = a + b + c = 21 + 20 + 29 = 70\,cm$.The semi-perimeter $s$ is given by $s = \frac{P}{2} = \frac{70}{2} = 35\,cm$.

Class 9 Mathematics Heron’s Formula Mix Examples - Heron’s Formula

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In a right-angled triangle,the length of the hypotenuse is $29\,cm$ and one of the sides forming the right angle is $21\,cm$. Then,the semi-perimeter of the triangle is ............ $cm$.

A
$50$
B
$25$
C
$70$
D
$35$

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Mix Examples - Heron’s Formula

$A$ rhombus-shaped sheet with a perimeter of $40 \, cm$ and one diagonal of $12 \, cm$ is painted on both sides at the rate of $Rs \, 5$ per $cm^2$. Find the cost of painting (in $Rs$).

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

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State whether the following statement is True or False and justify your answer:
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If the area of an equilateral triangle is $16 \sqrt{3} \, cm^{2}$,then the perimeter of the triangle is (in $cm$)

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In a right-angled triangle,the length of the hypotenuse is $29\,cm$ and one of the sides forming the right angle is $21\,cm$. Then,the semi-perimeter of the triangle is ............ $cm$.

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$A$ rhombus-shaped sheet with a perimeter of $40 \, cm$ and one diagonal of $12 \, cm$ is painted on both sides at the rate of $Rs \, 5$ per $cm^2$. Find the cost of painting (in $Rs$).

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

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State whether the following statement is True or False and justify your answer:
The area of a regular hexagon of side $a$ is the sum of the areas of the five equilateral triangles with side $a$.