In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is

Question

Philoid · Accepted Answer

Given in an isosceles ΔABC, AB = AC = 25 cm and BC = 14 cm

Here altitude from A to BC is AD.

We know in isosceles triangle altitude on non-equal sides is also median.

⇒ BD = CD = BC/2 = 7 cm

Applying Pythagoras Theorem,

⇒ AB² = BD² + AD²

⇒ 25² = 7² + AD²

⇒ AD² = 625 – 49 = 576

⇒ AD = 24

∴ Measure of altitude from A to BC is 24 cm