Question

In a right angle the hypotenuse is Xcm Adjacent is y cm while the opposite is Z cm , the length of the hypotenuse is X cm , is given by the formula X=√x^2+y^2
a) Find the value of x when y = 2 1/2 and z = 6cm
b) Find the value of y when X = 16 and X^2 = 60

Answer 1

Answer:

It appears that there may be a typo in the original question, as if:

• y is the adjacent
• z is the opposite
• X is the hypotenuse

of a right triangle, then using Pythagoras' Theorem:

$y^2+z^2=X^2$

$\implies X=\sqrt{y^2+z^2}$

a) Given:

• $y=2 \dfrac12=2.5$  
• $z=6$

And using $X=\sqrt{y^2+z^2}$ :

$\implies X=\sqrt{2.5^2+6^2}$

$\implies X=\sqrt{42.25}$

$\implies X=\dfrac{13}{2}$

b) Given:

• $X=16$
• $z^2=60$

And using  $X=\sqrt{y^2+z^2}$ :

$\implies 16=\sqrt{y^2+60}$

$\implies 256=y^2+60$

$\implies 196=y^2$

$\implies y=14$