Question

If ΔABC is a right triangle such that ∠C= 90°,∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

Answer 1

Answer:

∠B=45° AC=7 units. AB=7√2 units

Step-by-step explanation:

∠A+∠B+∠C=180°

45°+∠B+90°=180°

∠B=180°-135°

∠B=45°

tan∠A=BC/AC

tan45°=7/AC

1=7/AC

AC=7 units

In ∆ABC,

AB^2=AC^2+BC^2

AB^2=7^2+7^2

AB^2=49+49

AB=7√2 units