Respuesta :

Answers :

BC = 17.1

Angle B = 6.7°

Angle C = 83.3°

To find side BC, you use pythagorean’s theorem, which is a^2 + b^2 = c^2

This gives you 289 + 4 = 293, and you find the square root, which is 17.1.


To find the angle measures you can use tangent, which is opposite sides over adjacent sides. You plug these values into a calculator.

b = tan 2/17 = 6.7°

c = tan 17/2 = 83.3°



Answer:

BC = 17.1

m<B = 6.7 deg

m<C = 83.3 deg

Step-by-step explanation:

Find BC

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

2^2 + 17^2 = BC^2

4 + 289 = BC^2

BC^2 = 293

BC = sqrt(293)

BC = 17.1

Find <B

tan B = opp/adj

tan B = 2/17

B = tan^-1 2/17

B = 6.7 deg

Find <C

m<A + m<B + m<C = 180

90 + 6.7 + m<C = 180

m<C = 180 - 90 - 6.7

m<C = 83.3