Question

What are the values of x and y?
Will give brainliest if right.

Answer 1

x=7
y=8 (I think)  GOOD LUCK :)

Answer 2

Answer:

x = 4.27

y = 9.07

Explanation:

In a right triangle, the altitude that’s perpendicular to the hypotenuse has a special property.

It creates two smaller right triangles that are both similar to the original right triangle.

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar.

We use the property of similar triangle. Ratio of corresponding sides are same in case of similar triangle.

ΔADB is similar to ΔBDC (because ∠ADB = ∠BDC , ∠A=∠B and side BD = BD is common side)

NOw write the corresponding sides ratio

$\frac{AD}{BD} =\frac{AB}{BC}=\frac{DB}{DC}$

$\frac{15}{8} =\frac{17}{y}=\frac{8}{x}$

Now solve for x first

$\frac{15}{8} =\frac{8}{x}$

x = $\frac{64}{15}$

x = 4.27

Now find y

$\frac{15}{8} =\frac{17}{y}$

y = $\frac{17*8}{15} =\frac{136}{15}$

y = 9.07