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AfilCa [17]
3 years ago
15

Help me with this please!

Mathematics
2 answers:
DedPeter [7]3 years ago
8 0

Answer:

Area of triangle = 20√2

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - base  of triangle

h - height of triangle

<u>Distance formula</u>

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

Base = AC and Height = AB

<u>To find AB and AC</u>

A(1,3), B(4,7) and C(9, -5)

AB =  √(4 - 1)² +(7 - 3)² =  √(3² + 4²) = 5

AC = √(9 - 1)² +(-5 - 3)² =  √(8² + -8²) = 8√2

<u>To find the are of triangle</u>

Area = bh/2 = (5* 8√2)/2 = 20√2

Therefore the area of triangle = 20√2 square units

svetoff [14.1K]3 years ago
8 0

Answer:

Area =  20√2 is the area of triangle.

Step-by-step explanation:

We have given the triangle in the graph.

We have to find the area of the triangle.

The formula for the area of triangle is :

Area = 1/2(base×height)

In the graph, the base is represented by  AC, and height is represented

by AB.

First, we use distance formula to find AC and AB.

Base = AC =√(9-1)² + (-5-3)² = 8√2

Height = AB=√(4-1)² +(7-3)² = 5

Put this values of height and base in the formula we get,

Area = 1/2 (8√2 ×5)

Area =  20√2 is the area of triangle.

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