Find the missing lenghts of the sides

x = 8 ; y = 8√2

Step-by-step explanation:

In the given figure, two base angles are equal.

In an isosceles triangle, the sides opposite to the equal angles are equal.

∴ x= 8

The triangle is also right angled.

Using Pythagoras theorem,

hypotenuse² = base² + perpendicular²

y² = 8² + x² = 8² + 8² = 128

y = √128 = 8√2

∴ x = 8 ; y = 8√2

option 2

Step-by-step explanation:

tan45° = x/8

=>1 = x/8

=>x =8

for y,

cos45° = 8/y

=>1/√2 = 8/y

=>y = 8√2

5/12, or 5: 12

step-by-step explanation:

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