# Right triangles geometry really difficult can anyone help?

Please give an answer and a explanation if you can pleaseeee

### 3 Answers

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- KrishnamurthyLv 71 month ago
Right Triangle ABC:

Angle B = 90, BC = 4, AB = AC

10)

AB = 4√2

11)

AC = 4√2

Right Triangle ABC:

Angle B = 90, BC = 16, AB = AC

12)

AB = 8√2

13)

BC = 8√2

- lenpol7Lv 71 month ago
The Triangle ABC is a right - triangle and is also an Isosceles Triangle, because AB = BC ( Hatched lines)

Then using Pythagoras

AC^2= AB^2 + 4^2

Since AB = BC

Then we can say

AC^2 = 4^2 + 4^2

AC^2 = 16 + 16

AC^2 = 32

AC = sqrt(32) = 4sqrt(2) ( Simplified Radical form ).

From above AB = 4

Similarly

16^2 = AB^2 + BC^2

16^2 = 2AB^2

16 = ABsqrt(2)

AB = 16sqrt(2) / 2 = 8sqrt(2)

Since AB = BC , then BC = 8sqrt(2)

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