Question

Find the missing lenghts of the sides

Answer 1

option 2

Explanation:

tan45° = x/8

=>1 = x/8

=>x =8

for y,

cos45° = 8/y

=>1/√2 = 8/y

=>y = 8√2

Answer 2

x = 8 ; y = 8√2

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