Question

ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,

Answer 1

Answer:

tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

$given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16$

hope it helps you

Answer 2

Answer:

• See below

Step-by-step explanation:

Since B is the right angle, AC is the opposite side - hypotenuse.

Use Pythagorean and find the missing side, AB:

• $AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm$

There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.

If the scale factor was given as k, then XZ would be:

• XZ = k*BC = 5k