Question

Part 2 : Can someone plss. help me with this, the instruction says "Find the Unknown length marked on the following figure. Round all the answers/answer to the nearest thousandths"..............??​

Answer 1

x= 8 cm, y = 16 cm

Explanation:

Right Triangles and Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

`c^2=a^2+b^2`

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Both triangles shown in the image are congruent. We are given the hypotenuse of c= 17 cm and one leg a=15 cm. We can find the other leg x by solving for x:

`17^2=15^2+x^2`

`x^2=17^2-15^2=289-225=64`

`x=√(64)`

x = 8 cm

The value of y is twice the value of x, thus

y = 16 cm