Question

If triangle ABC, angle A=90 degree .AB=7cm and BC-AC=1cm then find sinC and tan B

Answer 1

Answer:

(a)7/25

(b) 24/7

Step-by-step explanation:

∠A = 90°

    AB² + AC² = BC²

or, 49 + AC² = (1+AC)²                          ∵BC = (1 +AC)

or, 49 + AC² = 1 + 2AC +AC²

or, 49 - 1       = AC² - AC² + 2AC

or, 48           =   2AC

or, AC          =   24

Hence, BC = √(AB² + AC²) cm

                  = √49+576 cm

                  =√625 cm = 25 cm

sin C = AB/BC = 7/25

tan B = AC/AB = 24/7