Question

Http://prntscr.com/lkz30r What is the value of x? 28 20 36 17

Answer 1

Answer-

$\boxed{\boxed{x=20}}$

Solution-

The given triangle in the link is a right angle triangle.

Pythagoras Theorem-

$\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$

From the diagram,

$\text{Hypotenuse}=29$

$\text{Base}=21$

$\text{Perpendicular}=x$

Putting the values in the equation,

$\Rightarrow 29^2=21^2+x^2$

$\Rightarrow x^2=29^2-21^2$

$\Rightarrow x^2=841-441$

$\Rightarrow x^2=400$

$\Rightarrow x=\sqrt{400}$

$\Rightarrow x=20$

Therefore, the value of x is 20 units.

Answer 2

This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,

$c^{2}= a^{2}+ b^{2}$

Where,

c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,

$(29)^{2}= (21)^{2} +x^{2} \\841=441+x^{2} \\400=x^{2} \\20=x$

So, 20 is the side length of x.

ANSWER: 20