Which of the following groups correctly match | vedclass

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

Question

(D) For a right-angled triangle with sides $a, b$ and hypotenuse $c$,the in-radius $r$ is given by the formula $r = \frac{a+b-c}{2}$.$1.$ For $\Delta

Vedclass · Accepted Answer

$(1-b), (2-a), (3-d), (4-c)$

Vedclass · Answer

(D) For a right-angled triangle with sides $a, b$ and hypotenuse $c$,the in-radius $r$ is given by the formula $r = \frac{a+b-c}{2}$.$1.$ For $\Delta ABC$ with sides $3, 4, 5$: $r = \frac{3+4-5}{2} = \frac{2}{2} = 1$. Matches $(b)$.$2.$ For $\Delta PQR$ with sides $5, 12, 13$: $r = \frac{5+12-13}{2} = \frac{4}{2} = 2$. Matches $(a)$.$3.$ For $\Delta XYZ$ with sides $8, 15, 17$: $r = \frac{8+15-17}{2} = \frac{6}{2} = 3$. Matches $(d)$.$4.$ For $\Delta MNP$ with sides $20, 21, 29$: $r = \frac{20+21-29}{2} = \frac{12}{2} = 6$. Matches $(c)$.Thus,the correct matching is $(1-b), (2-a), (3-d), (4-c)$.

Part $I$	Part $II$
$1.$ In $\Delta ABC, AB=3, BC=4, AC=5$	$a.$ In-radius $= 1$
$2.$ In $\Delta PQR, PQ=5, QR=12, PR=13$	$b.$ In-radius $= 2$
$3.$ In $\Delta XYZ, XY=8, YZ=15, XZ=17$	$c.$ In-radius $= 3$
$4.$ In $\Delta MNP, MN=20, NP=21, MP=29$	$d.$ In-radius $= 6$

Similar Questions

In the following figure,if $AB = 3$,then the perimeter of $\Delta APQ$ is...........

For $\Delta ABC$,$a=5$,$b=12$ and $c=13$. The radius of a circle touching all the three sides of $\Delta ABC$ is ..... .

$\overline{PA}$ is a tangent to $\odot(O, 8)$ drawn from a point $P$ outside the circle. If $m\angle AOP = 45^\circ$,then $AP = \ldots$

In the given figure,$AT$ is a tangent to the circle with center $O$ such that $OT = 4 \, cm$ and $\angle OTA = 30^{\circ}$. Then $AT$ is equal to (in $cm$):

If two tangents inclined at an angle $60^{\circ}$ are drawn to a circle of radius $3 \, cm$,then the length of each tangent is equal to (in $cm$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module