Question

In triangle ABC , angle A =90°. If AB =7 and BC -AC=1 cm, find : 1 )sin C
2)tan B​

Answer 1

Answer:

In triangle abc angle is equal to 90

A B is equal to 7 cm

By Pythagoras theorem

(AB)²=(BC)² - (AC)²

49=(BC)²-(AC)²

By using the identity (a²-b²)=(a+b)(a-b)

49=(BC+AC)(BC-AC)

Since BC-AC=1

49=BC+AC

1=BC-AC

adding the two

50=2BC

BC=25

AC=24

Sin c=AB/BC

=7/25

And tan b =AB/AC

7/24=