∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC ≈ °.

The length of side AB is units.

The length of side BC is units.

The length of side AC is units.

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Step-by-step explanation:

Given : ∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

To find : The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC ≈ ° ?

Solution :

The distance formula between two point is given by,

The distance between A(-3, 6) and B(2, 1) is

The distance between B(2, 1), and C(9, 5) is

The distance between C(9, 5) and A(-3, 6) is

By the Law of Cosines,

Substitute the values,

Therefore, .

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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step-by-step explanation: