Question

(1 point) 14 8 A If AC has length 8 and BC has length 14, find: • The length of AB: • The measure of angle B (in degrees): • The measure of angle C (in degrees): If you use a calculator to find a decimal approximation, your answer must be accurate to at least 3 decimal places. If you're using a calculator, be sure that your calculator is set to degrees, not radians. You are also allowed to use the inverse trig functions in your answer instead of using a calculator. sin-'(x) can be entered as arcsin(x) or asin(x).

Answer 1

Answers ::

11.489

34.850 Degrees

55.150 Degrees

Given, A = 90° 90 AC = 8 BC A theorem, As, We know from the Phythagorean AB²t AC² = BC² (8)+ - (14) 2 AB+ 2 AB 196-64 AB 132 AB - AB = 2 233 AB = 11.489 • The of AB = 11.489 length Now, Angle B from the Law of Sines, Sin B' b 81121 Sin A 8 SinB Sin 90° 14 SinB = (sin 90) ( 151498)) arc Sin 34.850 B = 34.850 degrees. CS Scanned with CamScanner

so, The measure of single B = 34.850 C, Now, the Angle c As, We know, frone triangle Properties, A+B+= 180 90 +(34.850) + c = 180 Ć - 180 - ( 90+ 34.850) d c = 55.150 55.150 The measure of angle IC = CS Scanned with CamScanner