Question

In ΔABC, ∠ABC = 90°, ∠BAC = ∠BCA = 45°. If AC = `9sqrt(2)`, then find the value of AB.

Answer 1

Given, in ΔABC

∠ABC = 90°

∠BAC = ∠BCA = 45°

AC = `9sqrt(2)`

Now, AB = `1/sqrt(2) xx "AC"`  ......[Property of 45 ° – 45° – 90°]

∴ AB = `1/sqrt(2) xx 9sqrt(2)`

∴ AB = 9