If Delta ABC sim Delta XYZ under the correspo | vedclass

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

Question

(D) Given that $\Delta ABC \sim \Delta XYZ$ under the correspondence $ABC \leftrightarrow XZY$.This implies that the ratio of the corresponding sides

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(D) Given that $\Delta ABC \sim \Delta XYZ$ under the correspondence $ABC \leftrightarrow XZY$.This implies that the ratio of the corresponding sides is equal to the ratio of their perimeters.Therefore,$\frac{AB}{XZ} = \frac{BC}{ZY} = \frac{AC}{XY} = \frac{	ext{Perimeter of } \Delta ABC}{	ext{Perimeter of } \Delta XYZ}$.Given: $	ext{Perimeter of } \Delta ABC = 45$,$	ext{Perimeter of } \Delta XYZ = 30$,and $AB = 21$.Substituting the values into the ratio: $\frac{21}{XZ} = \frac{45}{30}$.Simplifying the fraction $\frac{45}{30}$ gives $\frac{3}{2}$.So,$\frac{21}{XZ} = \frac{3}{2}$.Cross-multiplying gives $3 	imes XZ = 21 	imes 2$.$3 	imes XZ = 42$.$XZ = \frac{42}{3} = 14$.Thus,the length of $XZ$ is $14$.

If $\Delta ABC \sim \Delta XYZ$ under the correspondence $ABC \leftrightarrow XZY$,and the perimeter of $\Delta ABC$ is $45$,the perimeter of $\Delta XYZ$ is $30$,and $AB = 21$,find the length of $XZ$.

Similar Questions

$\Delta ABC \sim \Delta PQR$ for the correspondence $ABC \leftrightarrow PQR$. $\overline{AD}$ and $\overline{PM}$ are medians of these triangles. Prove that $AB \times PM = PQ \times AD$.

In $\Delta XYZ$,$P$ and $Q$ are the midpoints of $\overline{XY}$ and $\overline{XZ}$ respectively. If the area of $\Delta XYZ$ is $140$,find the area of $\Delta XPQ$.

It is given that $\triangle DEF \sim \triangle RPQ.$ Is it true to say that $\angle D = \angle R$ and $\angle F = \angle P?$ Why?

In $\Delta ABC$ and $\Delta PQR$,$\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$. If $AB = 15$,$PQ = 20$ and $BC = 12$,find $QR$.

In the figure,if $DE \parallel BC,$ find the ratio of $\operatorname{ar}(ADE)$ and $\operatorname{ar}(DECB).$

Vedclass Test Series

Exam Paper Generator

Online Exam Module