Question

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Answer 1

#7
AB = 4.1

CB = 4.1

#10
AC = 21.21

CB = 15

#11
AC = 2.828
CB =2

#12
AB = 2.616
CB = 2.616

#13

AC = 6
CB = 3√2

#14

AC = 5.94

CB = 4.2

Explanation:

The triangle is a right isosceles triangle with AB = AC

This means
AC² = AB² + CB²
= AB² + AB²
= 2AB²
AC = AB√2

and

AC = CB√2 (since CB= AB)

#7
Given AC = 5.8

We know AC = AB√2

`AB= (AC)/(√(2)) = (5.8)/(√(2)) = 4.1`

CB = AB is also 4.1

#10
Given AB = 15

AC = AB√2 = 15√2 =
CB= AB = 15

#11

Given CB = 2

AB = CB= 2

AC = CB√2 = 2√2 = 2.828

#12

Given AC = 3.7

We know AC = AB√2
AB= AC/√2 = 3.7 ÷ √2 = 2.616

CB = AB is also 2.616

#13

Given AB = 3√2

AC = AB√2 = 3 x √2 x √2 = 3 x 2 =6 (√2 x √2 = 2)
CB = 3√2

#14

Given AB= 4.2

AC = 4.2 x √2 = 5.94

CB = AB = 4.2