b) ABC is an isosceles triangle with AB = AC =13 and BC = 10 cm. Calculate the length of the perpendicularfrom A to BC About the author Melanie
Answer: Let the perpendicular from A cuts BC at D. In an Isosceles triangle the perpendicular on non congruent side bisects the non congruent side. Hence, In △ A B D , A B 2 = B D 2 + A D 2 (Pythagoras theorem) 13 2 = 5 2 + A D 2 A D 2 = 144 A D = 12 cm Reply
Answer:
Let the perpendicular from A cuts BC at D. In an Isosceles triangle the perpendicular on non congruent side bisects the non congruent side.
Hence, In
△
A
B
D
,
A
B
2
=
B
D
2
+
A
D
2
(Pythagoras theorem)
13
2
=
5
2
+
A
D
2
A
D
2
=
144
A
D
=
12
cm