Question

Camlin Page
Date
Herons
The length of
Formula
a
find the
5
sides
af triangle are
5 cm, 12cm and 13 cm
length of the perpendicular from
the
verted to the side where
length is 13 cm?​

Answer 1

Answer:

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Explanation:

Given, sides of triangle 5 cm, 12 cm, 13 cm.

Now semi perimeter, s= =

2

sum of the sides of triangle

=

2

5+12+13

=15 cm

Using heron's formula, Area of triangle=

s(s−a)(s−b)(s−c)

=

15(15−5)(15−12)(15−13)

=

15×10×3×2

=30cm

2

Using altitude, area of triangle =

2

1

× base × altitude =30cm

2

=

2

1

×13× altitude =30

= altitude =

13

30×2

=4.61 cm

So, altitude corresponding to largest side is 4.61 cm.

Answer 2

Explanation:

Given, sides of triangle 5 cm, 12 cm, 13 cm.

Now semi perimeter, s= =

2

sum of the sides of triangle

=

2

5+12+13

=15 cm

Using heron's formula, Area of triangle=

s(s−a)(s−b)(s−c)

=

15(15−5)(15−12)(15−13)

=

15×10×3×2

=30cm

2

Using altitude, area of triangle =

2

1

× base × altitude =30cm

2

=

2

1

×13× altitude =30

= altitude =

13

30×2

=4.61 cm

So, altitude corresponding to largest side is 4.61 cm.

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