Question

If a (5,8), b (-3,4) and c (7,k) are the vertices of the ∆abc and b=45° then k is

Answer 1

Answer:

14

Step-by-step explanation:

Given angle b = 45

Tan 45 = m= change in y axis /change in x axis

$1 = \frac{k - 4}{7 - ( - 3)}$

$1 = \frac{k - 4}{7 + 3}$

$1 = \frac{k - 4}{10}$

$10 = k - 4$

$k = 10 + 4$

$k = 14$