Answer:
9.3
Step-by-step explanation:
Using Pythagoras' Theorem,
[tex] {6}^{2} = {3}^{2} + {x}^{2} [/tex]
[tex] {x}^{2} = {6}^{2} - {3}^{2} [/tex]
[tex] {x}^{2} = (6 - 3)(6 + 3)[/tex]
[tex] {x}^{2} = 3 \times 9 = 27[/tex]
x = √27 = 3√3
Base = 1 + x = 1 + 3√3
Base = 6.1962
Area of the triangle = 1/2 × b × h
= 1/2 × 6.1962 × 3
= 9.294
Area of the triangle = 9.3
