Question

14. The lengths of the sides of a triangle are 33 cm, 44 cm and 55 cm respectively. Find the area
of the triangle and hence find the height corresponding to the side measuring 44 cm.​

Answer 1

Answer:

33cm is height

726cm is area

Step-by-step explanation:

Area of triangle=

s(s−a)(s−b)(s−c)

Here, s=

2

33+44+55

=66cm

Therefore area =

66(66−33)(66−44)(66−55)

=

66(33)(22)(11)

=726cm

2

Now area =726cm

2

and,base=44cm

Therefore height =

base

area(2)

=33cm

Answer 2

Answer:

16.5 cm would be the answer.

Step-by-step explanation:

Area of triangle = √s(s-a)(s-b)(s-c)

Here, s= 33 + 44 + 55 = 66cm

2

Therefore area =

√66(66 - 33)(66 - 44)(66 - 55)

= √66(33) (22) (11)

= 726 cm²

Now, area = 726 cm²

base = 44 cm

therefore , height/ perpendicular =

Area (2)

base

= 726 cm²

44 cm

= 16.5cm

so, length of the height = 16.5 cm.

hope it helps. Please mark it as a brainliest answer if you like.

Thank you friend:)