Question

Find the x value given in the figure.​

Answer 1

Answer:

x = 70

Step-by-step explanation:

By Pythagoras's theorem:

${ab}^{2} = {bc}^{2} - {ac}^{2} \\ \: \: \: \ \: = {37}^{2} - {12 }^{2} \\ \: \: \: \: \: = 1369 - 144 \\ \: \: \: \: \: = 1225 \\ ab = \sqrt{1225} \\ ab = 35 \\ \\ \\ value \: of \: x \: = 35 + 35 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 70$

Answer 2

Step-by-step explanation:

apply pythagorus theorem :

give the name of the triangle as ABC

and the perpendicular as AD

as AD is perpendicular to BC , angle ADB = angle ADC = 90° (each)

AD = AD ( common for both the triangles in triangle ABC),therefore AD = 12 each

In triangle ADC,

AC^2 = AD^2 + (DC) ^2

(37)^2 = (12) ^2+ (DC)^2

=> 1369 = 144 + (DC) ^2

=> 1369-144 = (DC) ^2

=> 1225 = (DC) ^2

=> √1225 = DC

=> 35 = DC

Now x = BD+DC

BD=DC

x= 35+35

x = 70

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