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Find the missing sides of this triangle (Hint: is this a special right triangle?)

(10 on the adjacent and two 45° angles on both ends if anyone can’t see)

Find the missing sides of this triangle (Hint: is this a special right triangle?) (10 on-example-1

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Answer:

Both sides are equal, and are equvalent to 5 square root of 2

Explanation:

This is a special right angled triangle known as the 45-45-90 triangle

The hypotenuse of a 45-45-90 triangle is x square root 2, with x being both sides of the triangle

10=x square root of 2 (Divide both sides by square root of 2)

10/square root of 2=x (Rationalize)

x=5 square root of 2

User TimothyTech
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