Question

Heres the picture, thank you!

Answer 1

Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg

12 divided by /2

Rationalize denominator:
12 * /2 divided by by /2 * /2

Simplify denominator:
12 * /2 divided by 2

Simplify:
6 * /2 or 4.24

Both x and y because it’s a 45-45-90 triangle

Answer 2

Answer:

x = 6√(2)

x = 6√(2)y = 6√(2)

Step-by-step explanation:

• Sides equal opposite to equal angles are always equal -----------<1>
• If one angle of triangle is 90°, then it is a right triangle, can find sides with the help of Pythagoras Theorem. -----------<2>
• The sum of all three sides of any triangle is 180°. -----------<3>

→ Given angles of triangle = 45° + 45° + 90° {from <3>}

→ x = y {because of <1>}

→ H² = P² + B² (Pythagoras Theorem) {from <2>}

→ (12)² = x² + y²

→ 144 = x² + x² [x = y]

→ 144 = 2x²

→ 144/2 = x²

→ 72 = x²

→ √(72) = x

→ 6√2 = x

→ x = y

so,

x = 6√2 = y

• x = 6√(2)
• y = 6√(2)

HOPE THIS HELPS YOU

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