The triangles shown are similar.
What is the value of x?
Two similar triangles, one triangle has legs 3 and 4 and hypotenuse 5, one triangle has legs 6 and 8 and a hypotenuse of unknown length.
Question 4 options:
12
15
9
10
To find the length of the unknown hypotenuse, we can use the property of similar triangles that states the ratios of corresponding sides are equal.
In the first triangle, the ratios of the legs and hypotenuse are 3/4 and 3/5, respectively.
In the second triangle, the ratios of the legs and hypotenuse are 6/8 and 6/x, respectively.
Since the triangles are similar, we can set up the following proportion:
3/4 = 6/8
To solve for x, we can cross multiply and solve for x:
3 * 8 = 6 * 4
24 = 24
Therefore, the value of x is 8.
Answer: 8