Triangle may not be drawn to scale Suppose a 4 and c 11 Gi

Triangle may not be drawn to scale. Suppose a = 4 and c = 11. Give all answers to at least one decimal place. Give angles in degrees

Solution

in the given right angled triangle by pytho gorus theorem

c²=a²+b²

given a=4, c=11

=>11²=4²+b²

=>121=16+b²

=>b²=105

=>b=105

=>b =10.3

by law of sines a/sinA=b/sinB=c/sinC

a/sinA=c/sinC

4/sinA=11/sin90⁰

4/sinA=11/1

sinA=4/11

A=21.3⁰

SUM OF ANGLES IN TRIANGLE =180⁰

A+B+C =180⁰

B=180⁰-21.3⁰-90⁰

B=68.7⁰