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Tatiana [17]
3 years ago
10

a right triangle has a hypotenuse of 58 cm, with legs that differ by 2 cm. find the length of each leg

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer:

40 cm and 42 cm

Step-by-step explanation:

Two leg length: x and x+2

x² + (x+2)² = 58²

2x² + 4x + 4 = 3364

2x² + 4x - 3360 = 0

(x+42) (x-40) = 0

leg length is a positive number so x = 40

another leg = 42

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Triangle A:B:C is 5:4:3​
Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

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divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

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45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

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3 years ago
(6+8)^2=6^2+8^2 statement true
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this is false

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6^2+8^2=100

They are not equal so this is a false statement

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3 years ago
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