# Triangle A has sides of lengths #42 ,36 #, and #21 #. Triangle B is similar to triangle A and has a side of length #14 #. What are the possible lengths of the other two sides of triangle B?

The possible length of sides for triangle B are

Let say 14 is a length of triangle B reflect to the length of 42 for triangle A and X,Y are the length for other two sides of triangle B.

By signing up, you agree to our Terms of Service and Privacy Policy

Since triangles A and B are similar, their corresponding sides are proportional. Let's denote the lengths of the sides of triangle B as ( x ) and ( y ), where ( x ) is the side corresponding to 36 in triangle A, and ( y ) is the side corresponding to 21 in triangle A.

Using the property of similar triangles, we can set up the following proportion:

[ \frac{x}{42} = \frac{14}{36} ]

[ \frac{y}{42} = \frac{14}{21} ]

Solving these proportions for ( x ) and ( y ):

[ x = \frac{14 \times 42}{36} ]

[ y = \frac{14 \times 42}{21} ]

Calculating these values:

[ x = \frac{14 \times 42}{36} = \frac{14 \times 7}{6} = \frac{98}{6} = \frac{49}{3} ]

[ y = \frac{14 \times 42}{21} = 14 \times 2 = 28 ]

So, the possible lengths of the other two sides of triangle B are ( \frac{49}{3} ) and 28.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Triangle A has sides of lengths #28 #, #36 #, and #24 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?
- A baker is serving a new circular brownie pizza dessert (1" thick with a volume of 132.25 cubic inches). What are the dimensions of the open-topped cardboard box needed to serve the brownie pizza (assume the brownie to be inscribed in the box)?
- Britney is 5 feet tall and casts a 3 1/2 -foot shadow at 10:00 A.M. At that time, a nearby tree casts a 17-foot shadow. Two hours later, Britney's shadow is 2 feet long. What is the length of the shadow of the tree at this time?
- A triangle has corners at points A, B, and C. Side AB has a length of #12 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #24 #, what is the length of side BC?
- Given the figure determine the value of the unknown segment, #x#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7