Question

Geometry and 60 POINTS!!!!!!

Answer 1

a = 6 ft

Explanation:

We have to find,

→ The value of a in the diagram.

Formula we use,

=> Using Pythagoras theorem.

→ (Hyp)² = (Opp)² + (Base)²

Forming the equation,

→ (6√2)² = (a)² + (a)²

Now the value of a will be,

→ (6√2)² = (a)² + (a)²

→ (a)² + (a)² = (6√2)²

→ 2a² = 36 × 2

→ 2a² = 72

→ a² = 72 ÷ 2

→ a² = 36

→ a = √(36)

→ [ a = 6 ft ]

Hence, the value of a is 6 ft.

Answer 2

a = 6 ft.

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Given is an isosceles right triangle.

As per property of a such triangle, its hypotenuse is √2 times its leg.

That is:

• a√2 = 6√2, divide both sides by √2
• a = 6