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JulijaS [17]
4 years ago
11

ΔHAT is similar to ΔCAN.

Mathematics
2 answers:
pav-90 [236]4 years ago
8 0

Answer:

The value of y is \frac{10}{3}. It can be written as 3\frac{1}{3}.

Step-by-step explanation:

It is given that ΔHAT is similar to ΔCAN.  The corresponding sides of similar triangle are proportional.

Since ΔHAT is similar to ΔCAN, therefore

\frac{CN}{HT}=\frac{AC}{AH}

\frac{CN}{HT}=\frac{AC}{AC+CH}

\frac{y}{6}=\frac{5}{5+4}

\frac{y}{6}=\frac{5}{9}

y\times 9=5\times 6

y\times 9=30

Divide both sides by 9.

y=\frac{30}{9}

y=\frac{10}{3}

y=3\frac{1}{3}

Therefore the value of y is \frac{10}{3}. It can be written as 3\frac{1}{3}.

LenKa [72]4 years ago
6 0

In similar triangles, the ratios of corresponding sides are equal.

This means

y/6=5/(4+5)

Cross multiply

y=5*6/(4+5)=30/9=10/3 (or 3 1/3)

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