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solmaris [256]
2 years ago
15

Could someone please help me

Mathematics
2 answers:
luda_lava [24]2 years ago
5 0

Answer:

1)  8 cm

2)  15 ft

3)  3√10 ft = 9.5 ft (nearest tenth)

Step-by-step explanation:

<u>Pythagoras’ Theorem</u>

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

<u>Question 1</u>

Given:

  • a = 6
  • b = x
  • c = 10

Substitute the given values into the equation and solve for x:

\implies 6^2+x^2=10^2

\implies 36+x^2=100

\implies x^2=100-36

\implies x^2=64

\implies x=\sqrt{64}

\implies x=8\: \sf cm

<u>Question 2</u>

Given:

  • a = 9 ft
  • b = 12 ft

Substitute the given values into the equation and solve for c:

\implies 9^2+12^2=c^2

\implies 81+144=c^2

\implies c^2=225

\implies c=\sqrt{225}

\implies c=15\: \sf ft

<u>Question 3</u>

Given:

  • a = 3 ft
  • b = 9 ft

Substitute the given values into the equation and solve for c:

\implies 3^2+9^2=c^2

\implies 9+81=c^2

\implies c^2=90

\implies c=\sqrt{90}

\implies c=\sqrt{9 \cdot 10}

\implies c=\sqrt{9}\sqrt{10}

\implies c=3\sqrt{10}\: \sf ft

mamaluj [8]2 years ago
4 0

The second attachment I solved in your another question.You may refer to that.

#1

Apply Pythagorean theorem

x²=10²-6²

  • x²=100-36
  • x²=64
  • x=8cm
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