Question

find the value of x using Pythagoras theorem​

Answer 1

Answer:

70 will be answer...

Step-by-step explanation:

See attachment...

Answer 2

Answer:

The length of x is 70.

Step-by-step explanation:

Consider the right-angled triangle ACD.

Use Pythagoras theorem to compute the measure of side CD as follows:

$AD^{2} = AC^{2}+CD^{2}\\CD^{2}=AD^{2}-AC^{2}\\=37^{2}-12^{2}\\=1225\\CD=\sqrt{1225}=35$

Consider the right-angled triangle ABC.

Use Pythagoras theorem to compute the measure of side BC as follows:

$AB^{2} = AC^{2}+BC^{2}\\BC^{2}=AB^{2}-AC^{2}\\=37^{2}-12^{2}\\=1225\\BC=\sqrt{1225}=35$

The length of x is: BC + CD = 35 + 35 = 70.

Thus, the length of x is 70.