Question

The side of a triangle is 25 cm ,17 cm and 12 cm . The length of the altitude on the longest side is equal to

Answer 1

Answer:

GIVEN:-

Sides of the triangle :-

25 cm , 17 cm and 12 cm

we have to find the area of this triangle by herons formula

heron's formula :-

√{(s-a)(s-b)(s-c)}

S = ( 25+17+12 )/2

S = 54/2

S = 27

√{(27-25)(27-17)(27-12)}

√{(2)(10)(15)

√300

17.3 cm²

hence , the area of the triangle is √300 cm².

now,

the altitude on the longest side (25 cm) :-

longest side in this triangle = 25 cm .

we know that the are of triangle formula is

1/2× base × altitude

Let's take altitude be x.

17.3 = 1/2×25×x

12.5x= 17.3

x= 17.3/12.5

x= 1.4 cm

→ Hence , the altitude on the longest side is 1.4 cm.

Step-by-step explanation:

1.4 cm is the correct answer