Question

in the isosceles triangle, the length of each of congruent sides is 10 cm and the length of base is 12 cm . find the length of altitude AD​

Answer 1

Answer:

8 cm

Step-by-step explanation:

In a triangle ABC, side AB = AC = 10 cm

And base = 12 cm

If we draw an altitude AD to the mid point of the base BC.

So, length of AD = under root 10^2 - 6^2 (Pythagoras theorem)

= under root 100 - 36

= √64 cm

= 8 cm

Answer 2

Step-by-step explanation:

Make an isosceles triangle ABC

AB=AC.

AB=10cm=AC

BC=12cm

make a line AD perpendicular bisector of BC

Using pythagorus theorum

AB2=AD2+1/2BC2

(10)2=(AD)2+(6)2

100=(AD)2+36

100-36=AD2

64=AD2

Therefore

AD=8cm