Question

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of 3 and 3. What is the value of x? One-third StartRoot 2 EndRoot units One-half StartRoot 3 EndRoot units 2 StartRoot 3 EndRoot units 3 StartRoot 2 EndRoot units

Answer 1

Answer:

3√2

Step-by-step explanation:

Find the diagram attached

Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees

Considering one of the right angles triangle;

Hypotenuse = x

Opposite = 3

Angle theta = 45 degrees

According to SOH CAH TOA

sin theta = opp/hyp

sin 45 = 3/x

x = 3/sin45

x = 3/(1/√2)

x = 3 * √2

x = 3√2

Hence the value of x is 3√2