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zhannawk [14.2K]
3 years ago
10

The hypotenuse of a right triangle is 65 cm, if one of its sides is 25 cm, find the length of the other side and it's perimeter

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

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Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
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D

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our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

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2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

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B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

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cos²(x) + sin²(x) = 1

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cot²(x) + 1 = csc²(x)

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multiplying both sides by -1

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