Question

Special Right Triangles Need help don’t understand this.

Answer 1

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

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Using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{\sqrt{2} }{2}$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2x = 10$\sqrt{2}$ ( divide both sides by 2 )

x = 5$\sqrt{2}$

Answer 2

Answer:

d

Step-by-step explanation: