Question

Can you help me with this?​

Answer 1

altitude ≈ 23 cm

Explanation:

since the triangle is isosceles then the altitude AD is the perpendicular bisector of BC , so

BD =
`(1)/(2)` BC = 7 cm

using Pythagoras' identity in right triangle ABD

AD² + BD² = AB²

AD² + 7² = 24²

AD² + 49 = 576 ( subtract 49 from both sides )

AD² = 527 ( take square root of both sides )

AD =
`√(527)` ≈ 23 cm ( to the nearest whole number )

then the altitude is approximately 23 cm