In Delta ABC,AB = 3,BC = 6,and AC = 8. In Del | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To determine the similarity,we compare the ratios of the corresponding sides of $\Delta ABC$ and $\Delta PQR$.First,arrange the sides of each tria

Vedclass · Accepted Answer

$ABC \leftrightarrow PRQ$

Vedclass · Answer

(C) To determine the similarity,we compare the ratios of the corresponding sides of $\Delta ABC$ and $\Delta PQR$.First,arrange the sides of each triangle in increasing order:For $\Delta ABC$: $AB = 3$,$BC = 6$,$AC = 8$.For $\Delta PQR$: $PR = 5.1$,$QR = 10.2$,$PQ = 13.6$.Now,calculate the ratios of the corresponding sides:Ratio of shortest sides: $\frac{AB}{PR} = \frac{3}{5.1} = \frac{30}{51} = \frac{10}{17}$.Ratio of medium sides: $\frac{BC}{QR} = \frac{6}{10.2} = \frac{60}{102} = \frac{10}{17}$.Ratio of longest sides: $\frac{AC}{PQ} = \frac{8}{13.6} = \frac{80}{136} = \frac{10}{17}$.Since $\frac{AB}{PR} = \frac{BC}{QR} = \frac{AC}{PQ} = \frac{10}{17}$,by the $SSS$ similarity criterion,the correspondence $ABC \leftrightarrow PRQ$ is a similarity.

In $\Delta ABC$,$AB = 3$,$BC = 6$,and $AC = 8$. In $\Delta PQR$,$PQ = 13.6$,$QR = 10.2$,and $PR = 5.1$. Which correspondence between $\Delta ABC$ and $\Delta PQR$ is a similarity?

Similar Questions

In $\Delta ABC$,$m \angle B = 45^{\circ}$ and $\overline{AM}$ is an altitude,$M \in \overline{BC}$. If $BC = 7$ and $AM = 4$,then $AC = \ldots$

$\Delta ABC \sim \Delta PQR$ for the correspondence $ABC \leftrightarrow PQR$. If $AB : PQ = 3 : 4$ and the perimeter of $\Delta PQR$ is $24$,find the perimeter of $\Delta ABC$.

In $\Delta PQR$,$m \angle Q : m \angle R : m \angle P = 1 : 2 : 1$. If $PQ = 2 \sqrt{6}$,then $PR = \ldots$

In rhombus $ABCD$,$AB = 25$ and $AC = 14$. Find $BD$.

$\Delta PQR \sim \Delta XYZ$ for the correspondence $PQR \leftrightarrow XZY$. If $PQ = 8$,$XZ = 12$ and the area of $\Delta PQR$ is $24$,find the area of $\Delta XYZ$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module