Question

find the value of x in the following figure in Pythagoras format with full solution​

Answer 1

Using Pythagoras theorem on 1 of the triangle,

$( {37)}^{2} =( {12})^{2} + { (\frac{x}{2}) }^{2}$

$1369 = 144 + ({ \frac{x}{2} })^{2}$

$1225 = ( { \frac{x}{2} )}^{2}$

Taking square root from both side

$35 = \frac{x}{2}$

$x = 70$

Answer 2

Answer:

as You can see there are two triangles formed.

there are two right angles so one side of is equal x/2.

let suppose x/2 = y

Step-by-step explanation:

using Pythagoras theorem :

(12)² + (y)² = (37)²

144 + y² = 1369

y² = 1369-144

y² = 1225

y = √1225

√1225= 35

so,

y = 35 = x/2

x/2 = 35

x = 35×2

x = 70

Hope You Got it.