Question

1) find the measure <Ø. Round to one decimal place.

2.) find the measure of line BA. round to one decimal place
PLEASE ANSWER QUICKLY, 15 POINTS

Answer 1

Θ = 45°

BA =
`3√(2)` = 4.243

Explanation:

i) the given triangle is a right angled isosceles triangle.

ii) the base and the height are both equal. height = base = 3 cm.

iii) from the rule of triangles the sum of all angles in a triangle is 180° and since the triangle is an right angled isosceles triangle one angle is 90° and the other two angles are equal.

Therefore

Θ° + Θ° + 90° = 180° ⇒ 2Θ° = 180° - 90° = 90° ∴ Θ = 45°

iv) the hypotenuse BA is given by the Pythagoras' theorem

∴ hypotenuse (BA) =
`\sqrt{base^(2) + height^(2) }` =
`\sqrt{BC^(2) + CA^(2) }` =
`\sqrt{3^(2) + 3^(2) }` =
`3√(2)` = therefore BA =
`3√(2)` = 4.243