Question

find the value of x all measures are in cm and please explain it also how the answer came and use the formula of pythagoras property​

Answer 1

Answer:

In ∆ ABC & ∆ ABD

AB= AB {Common}{Base}

AD = AD = 37 cm {Hypotenuse}

angle ABC = angle ABD = 90° {Right Angle}

Hence ∆ ABC is congruent to ∆ ABD by RHS criteria.

Hence AB cuts line x in two equal parts

=> CB = BD = x/2

By Pythagoras theorem:

${b}^{2} = {h}^{2} - {p}^{2}$

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

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

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

$\frac{x}{2} = \sqrt{1225}$

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

$x = 70 cm$

So, x = 70 cm

Hope this helps you