Delta ABC and Delta XYZ are similar under the | vedclass

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

Question

(D) Given the correspondence $ABC \leftrightarrow XZY$,the triangles are similar,i.e.,$\Delta ABC \sim \Delta XZY$.
From the property of similar tria

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(D) Given the correspondence $ABC \leftrightarrow XZY$,the triangles are similar,i.e.,$\Delta ABC \sim \Delta XZY$.
From the property of similar triangles,the ratio of corresponding sides is equal:
$\frac{AB}{XZ} = \frac{BC}{ZY} = \frac{AC}{XY}$.
Given $AB = 6$,$XY = 12$,$YZ = 6$,and $ZX = 9$.
Using the correspondence $ABC \leftrightarrow XZY$,the sides are proportional as follows:
$\frac{AB}{XZ} = \frac{BC}{ZY} = \frac{AC}{XY}$
$\frac{6}{9} = \frac{BC}{6} = \frac{AC}{12}$
First,find $BC$: $\frac{6}{9} = \frac{BC}{6} \implies BC = \frac{6 	imes 6}{9} = \frac{36}{9} = 4$.
Next,find $AC$: $\frac{6}{9} = \frac{AC}{12} \implies AC = \frac{6 	imes 12}{9} = \frac{72}{9} = 8$.
The perimeter of $\Delta ABC = AB + BC + AC = 6 + 4 + 8 = 18$.

$\Delta ABC$ and $\Delta XYZ$ are similar under the correspondence $ABC \leftrightarrow XZY$. If $AB = 6$,$XY = 12$,$YZ = 6$,and $ZX = 9$,find the perimeter of $\Delta ABC$.

Similar Questions

In a triangle,if the bisector of an angle bisects the side opposite to that angle,then prove that the triangle is an isosceles triangle.

.......... are not the measures of sides of a right-angled triangle.

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

Prove that the sum of squares of the sides of a rectangle is equal to the sum of squares of its diagonals.

In $\Delta PQR$,$m \angle Q = 90^\circ$. If $PQ = 5$ and $PR = 13$,find the area of $\Delta PQR$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module