Question

The sides of a triangle are 12 cm, 16 cm, 20 cm. find the altitude to its longest side????​

Answer 1

Answer:

Height of triangle is 16 cm

explanation:

Area of triangle with sides a, b,and c and s =  2a+b+c

 is  

s(s−a)(s−b)(s−c)

For triangle with sides 16 cm, 12 cm and 20 cm, s=  

2

16+12+20

​  

=24cm  

Area of the triangle with sides 16 cm, 12 cm and 20 cm =  

24(24−16)(24−12)(24−20)

​  

=  

24×8×12×4

​  

=  

8×3×8×4×3×4

​  

=8×3×4=96cm  

2

 

Area of triangle  can also be calculated using the formula  

2

1

​  

×base×height

Let the height for base 12cm, be h.

So, area =  

2

1

​  

×12×h=96cm  

2

 

=>h=16cm

Answer 2

Step-by-step explanation:

$12 + 16 + 20 = 48$

$48 \times 180 = 8840 answer \: he$