Question

If = 12 and = 10, then the height of the triangle is:

16.
8.
6.
36.

Answer 1

h = 8

Explanation:

CD is the perpendicular bisector of AB , then

AD = BD =
`(1)/(2)` AB =
`(1)/(2)` × 12 = 6

using Pythagoras' identity in right triangle BCD

h² + BD² = CB²

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take square root of both sides )

h =
`√(64)` = 8