Question

in the given figure ABC is similar to PQR. find the value of y+z.​

Answer 1

Answer:

Answer will be (y + z = 7√3).

Explanation:

=) ABC = PQR

=) AC = PR = 4√3 = y [(given) similar side]

=) AB = PQ = 3 = z [(given) similar side]

Therefore, y + z =) 4√3 + 3 = 7√3. (Ans)

Answer 2

y + z = 9.20

• Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "."
• If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
• Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Here, according to the given information, the two triangles given are similar to each other.

Now, since they are similar, we have,

$\frac{6}{8} = \frac{y}{4\sqrt{3} }$

Or, y = 5.20

Again, similarly,

$\frac{6}{8} = \frac{3}{z }$

Or, z = 4.

Then, y + z = 4 + 5.20 = 9.20

Hence, y + z = 9.20

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