Question

16. The sides of a triangle are 51 cm, 45 cm and 24 cm respectively. Find the
length of the perpendicular on the smallest side from the opposite vertex.​

Answer 1

Step-by-step explanation:

the smallest side is 24

if the perpendicular is on this side the side will get divided into two equal parts i.e. into 12 and 12

by Pythagoras theorem

12^2 +x^2=45^2

144 + x^2 = 2025

x^2 = 2025 - 144

x^2 = 1881

x = √1881

therefore th length of perpendicular is √1881

Answer 2

Answer:

15 CM

Step-by-step explanation:

BY heron's formula,[area= $\sqrt{s[s-a][s-b][s-c]}$

area of triangle=180cm^2

given,

shortest side=24 cm

and also area of a triangle =1/2 x b x h

or, 180= 1/2 x 24 x h

or, h=[180 x 2]/24

or, perpendicular drawn on shortest side =15 cm