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Herons Formula - Area of Isosceles Triangle Video Lecture - Class 9

FAQs on Herons Formula - Area of Isosceles Triangle Video Lecture - Class 9

1. What is Heron's Formula and how is it used to calculate the area of an isosceles triangle?

Ans. Heron's Formula is a mathematical formula used to find the area of a triangle when only the lengths of its sides are known. To calculate the area of an isosceles triangle using Heron's Formula, you need to know the lengths of all three sides. The formula is given as: Area = √(s(s-a)(s-b)(s-c)) Where s is the semi-perimeter of the triangle, calculated as (a+b+c)/2, and a, b, and c are the lengths of the triangle's sides.

2. Can Heron's Formula be used to find the area of any type of triangle?

Ans. Yes, Heron's Formula can be used to find the area of any type of triangle, whether it is equilateral, scalene, or isosceles. As long as you know the lengths of all three sides of the triangle, you can apply Heron's Formula to calculate its area.

3. What is the advantage of using Heron's Formula to find the area of an isosceles triangle?

Ans. The advantage of using Heron's Formula to find the area of an isosceles triangle is that it only requires the lengths of the sides, making it a useful tool when other information, such as angles or heights, is not available. It is a simple and straightforward formula that can be easily applied to any isosceles triangle.

4. Can Heron's Formula be used to find the area of a triangle with only two side lengths known?

Ans. No, Heron's Formula cannot be used to find the area of a triangle with only two side lengths known. The formula requires the lengths of all three sides of the triangle. If you have only two side lengths, you would need additional information, such as an angle or height, to calculate the area of the triangle.

5. Are there any alternative methods to calculate the area of an isosceles triangle without using Heron's Formula?

Ans. Yes, there are alternative methods to calculate the area of an isosceles triangle without using Heron's Formula. One such method is to use the formula A = 1/2 * base * height, where the base is one of the equal sides of the isosceles triangle and the height is the perpendicular distance from the base to the opposite vertex. This method is simpler and may be preferred if the height of the triangle is known.

Text Transcript from Video

let's discuss another question from the
heron's formula the question is a little
easier as we had discussed a lot of
questions somehow like that and the
previous videos let me read the question
a nationalist triangle has a perimeter
of 30 centimeter and each of the equal
sites is 12 centimeter find the area of
the triangle basically the question is
saying here that we have a shoelace
triangle all right first we should
answer what is I should say struggle any
triangle whose two sides are equal you
know if the two sides of a triangle is
equal then such triangles is crisis with
struggle if the two sides are equal two
angles are also equal but that's not
required here okay so these two sides
are equally nice triangle and the sides
are given to be 12 centimeter this is
also 12 centimeter okay and very best
thing for us given is the perimeter we
know the perimeter of this let's say the
third side is X centimeter all right
so from here let's say the perimeter
perimeter perimeter equals to 30
centimeter which is 12 plus 12 plus X
that is 30 centimeter so here x equals
to 30 minus 24 that is 6 centimeters so
we got our third side that is 6
centimeter so let's find out the area of
the triangle now to find the area of the
triangles from Heron's formula we need
first semi perimeter so semi perimeter
as equals to half of the perimeter or
you just add everything in divided by 2
that's 30 divided by 2 that's 15
centimeter so from the hands formal
let's write down area of the triangle
area of triangle area of triangle is
equals to s times s minus a times s
minus b times as minus c all right these
are our inside root so what's our s here
our s is given to be 15 okay so it's 15
and again 15 minus 8 15 minus let's see
first side 12 all right another is also
12 15 minus 12 and the third side we get
as a 6 so it's again 15 minus 6 all
right okay so here 15 let me keep as it
is 15 15 minus 12 that is 3 again 15
minus 12
that is three and 15-6 that's nine okay
and see the wonderful thing here it's 15
and 3 times 3 that is 9 and it is one
more 9 so it's 9 square and 9 will come
outside and 15 will leave inside the
road so 915 centimeter square is the
area of the triangle given to us and the
triangle was I just strangled all right
I hope you understand this question the
main trick was here you know just to
find the third side and then use the
very simple Heron's formula to find the
80 of the triangle you

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Sep 09, 2025 Last updated

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