Question

What is the value of x?
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your answer in the box.

Answer 1

x = 3

Explanation:

The side ratios of an isosceles right triangle are ...

1 : 1 : √2

AB : BC : AC

= 1 : 1 : √2

= 6 : 6 : 6√2 ⇒ BC = 6

The side ratios of a 30°-60°-90° right triangle are ...

BD : DC : BC

= 1 : √3 : 2

= 3 : 3√3 : 6

BD = x = 3