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makvit [3.9K]
3 years ago
6

Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

Mathematics
1 answer:
OLga [1]3 years ago
6 0
The image of the triangle and the corresponding lines is needed in order to answer this question properly. That image is attached.

We are told that point P is the incenter of the triangle, and is the center point of the incircle of the triangle. The incircle is the largest circle that can be made in a triangle and is tangent to each side of the triangle. The radius of the circle is going to be a perpendicular line from point P to any side of the triangle. In the triangle shown, PZ = PY = PX, and each value is equal to the radius of the circle.

Therefore, no further calculations are required for this problem since we already know that PZ = 7 units making the radius, r = 7 units.

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The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square
Temka [501]

Answer:

The area of square A is 256 cm²

Step-by-step explanation:

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In the given figure

∵ The sides of the square E = 2 cm each

∵ The sides of the square F = 2 cm each

∵ The side of square D is the sum of the sides of squares E and F

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∵ The side of square C is the sum of the sides of squares E and D

∴ The sides of square C = 2 + 4 = 6 cm each

∵ The side of square B is the sum of the sides of squares C, E, and F

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∵ The side of square A is the sum of the sides of squares B, F, and D

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∴ Area of square A = 16 × 16

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3 0
2 years ago
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(y -3)^2 = 4y - 12

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(y-3)(y -3) = 4y - 12

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y² - 6y -4y + 9 + 12 = 0

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Factors are -7y and - 3y

y² - 10y + 21 = 0

y² - 3y - 7y + 21 = 0

y(y - 3) -7(y - 3) = 0

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8 0
3 years ago
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Mariana [72]

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You can go on to solve for <em>y</em> explicitly if you want.

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<em>y</em> = 4<em>x</em> - 6 + (<em>x</em>/2 + <em>C </em>)²

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