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slava [35]
3 years ago
15

HELPPP PLEASEEE!!! Find the perimeter of ΔTAP with vertices T(1, 4), A(4,4), and P(3,0) to the nearest tenth unit.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer: 11.6 units.


Step-by-step explanation:

1. Plot the points as you can see in the graph attached.

2. As you can see, the lenght <em>TA</em> is 3 units.

3. Apply the formula for calculate the distance between two points, to calculate the length<em> TP</em> and <em>TA.</em> The formula is:

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

4. Therefore, you have:

TP=\sqrt{(1-3)^{2}+(4-0)^{2}}=4.47units

AP=\sqrt{(4-3)^{2}+(4-0)^{2}}=4.12units

5. The perimeter is the sum of the the lenght of each side, therefore:

Perimeter=3units+4.47units+4.12units\\Perimeter=11.59units

6. To the nearest tenth unit:

Perimeter=11.6units

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