Question

2-39)Construct a triangle ABC given that ZA = 45°, LB = 90° and AB + BC + CA = 14cm
n1.0.​

Answer 1

Answer:

AB=BC=4.1

CA=5.8

Step-by-step explanation:

CA^2=BC^2+AB^2

ZA=45 ⇒ ZB=45 ⇒ AB=BC

AB + BC + CA = 14 ⇒ 2×AB+(√(2×AB^2))=14

⇒AB(2+√2)=14 ⇒ AB=BC=4.1 ⇒AC=√(4.1^2+4.1^2)=5.8