Question

Could someone please help me

Answer 1

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

Answer 2

1) 8 cm

2) 15 ft

3) 3√10 ft = 9.5 ft (nearest tenth)

Explanation:

Pythagoras’ Theorem

`a^2+b^2=c^2`

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

Question 1

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=√(64)`

`\implies x=8\: \sf cm`

Question 2

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=√(225)`

`\implies c=15\: \sf ft`

Question 3

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=√(90)`

`\implies c=√(9 \cdot 10)`

`\implies c=√(9)√(10)`

`\implies c=3√(10)\: \sf ft`