In Delta XYZ,X-S-Y,X-T-Z and overline{ST} par | vedclass

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

Question

(D) According to the Basic Proportionality Theorem (Thales Theorem),if a line is drawn parallel to one side of a triangle to intersect the other two s

Vedclass · Accepted Answer

$17$

Vedclass · Answer

(D) According to the Basic Proportionality Theorem (Thales Theorem),if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points,then the other two sides are divided in the same ratio.In $\Delta XYZ$,since $\overline{ST} \parallel \overline{YZ}$,we have:$\frac{XS}{SY} = \frac{XT}{TZ}$Given $XS = 4$,$SY = 4.5$,and $XT = 8$,we substitute these values:$\frac{4}{4.5} = \frac{8}{TZ}$$4 	imes TZ = 8 	imes 4.5$$4 	imes TZ = 36$$TZ = \frac{36}{4} = 9$Since $X-T-Z$,the length $XZ = XT + TZ$.$XZ = 8 + 9 = 17$.

In $\Delta XYZ$,$X-S-Y$,$X-T-Z$ and $\overline{ST} \parallel \overline{YZ}$. If $XS = 4$,$SY = 4.5$ and $XT = 8$,find $XZ$.

Similar Questions

$\square XYZW$ is a rectangle. If $XY + YZ = 17$ and $XZ + YW = 26$,find $XY$ and $YZ$ (given $XY > YZ$).

The heights of two poles standing erect on a flat ground are $6 \, m$ and $11 \, m$. If the distance between their bases is $12 \, m$,find the distance between their tops.

In $\Delta PQR$,$m \angle Q = 90^\circ$. If $PQ : QR = 1 : 1$,then $PQ : PR = \ldots$

In a rhombus,the diagonals measure $10$ and $24$. Then,the length of each side of the rhombus is...........

In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle P$ and $\angle B \cong \angle R$. Then,the correspondence $ABC \leftrightarrow \ldots$ is a similarity.

Vedclass Test Series

Exam Paper Generator

Online Exam Module