In Delta XYZ,A and B are the midpoints of XY | vedclass

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

Question

(D) According to the Midpoint Theorem,the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half the

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(D) According to the Midpoint Theorem,the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.In $\Delta XYZ$,$A$ and $B$ are the midpoints of $XY$ and $XZ$ respectively.Therefore,$AB = \frac{1}{2} 	imes YZ$.Given $AB = 7.5 \, cm$.Substituting the value: $7.5 = \frac{1}{2} 	imes YZ$.$YZ = 7.5 	imes 2 = 15 \, cm$.

In $\Delta XYZ$,$A$ and $B$ are the midpoints of $XY$ and $XZ$ respectively. If $AB = 7.5 \, cm$,then find the length of $YZ$ in $cm$.

Similar Questions

In rhombus $ABCD$,$\angle A = \angle B - 30^{\circ}$,then $\angle C = \ldots$ (in $^{\circ}$)

Show that the quadrilateral formed by joining the mid-points of the sides of a rhombus,taken in order,is a rectangle.

The figure obtained by joining the mid-points of the sides of a rhombus,taken in order,is

$ABCD$ is a rhombus such that $\angle ACB = 40^{\circ}$. Then $\angle ADB$ is (in $^{\circ}$)

Diagonals $AC$ and $BD$ of a parallelogram $ABCD$ intersect each other at $O$. If $OA = 3\, cm$ and $OD = 2\, cm$,determine the lengths of $AC$ and $BD$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module