Δ A B C \Delta ABC Δ A B C is an isosceles triangle in which ∠ C = 90 ° \angle C=90\degree ∠ C = 9 0 ° . If AC =6 cm, AB=

6 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm

2 6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm

4 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm

The length of hypotenuse of an isosceles right triangle whose one side is 4 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm is

8 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm

12 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cm

If in two triangles ABC and PQR, \frac{AB}{QR}=\ \frac{BC}{PR}=\ \frac{CA}{PQ} Q R A B = P R B C = P Q C A , then ..

Δ P Q R ∼ Δ C A B \Delta\ PQR\ \sim\Delta\ CAB Δ P Q R ∼ Δ C A B

Δ P Q R ∼ Δ A B C \Delta\ PQR\ \sim\Delta\ ABC Δ P Q R ∼ Δ A B C

Δ C B A ∼ Δ P Q R \Delta\ CBA\ \sim\Delta\ PQR Δ C B A ∼ Δ P Q R

Δ B C A ∼ Δ P Q R \Delta\ BCA\ \sim\Delta\ PQR Δ B C A ∼ Δ P Q R

Triangles 10TH CLASS Quiz

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

All circles are

similar

congruent

both similar and congruent

none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

All _____ triangles are similar

scalene

isosceles

equilateral

right angled

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

equal

parallel

intersecting

coinciding

Tags

CCSS.HSG.SRT.B.4

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

in the fig, if DE ll BC then find the value of AD

16

8

4

32

Tags

CCSS.HSG.SRT.B.4

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

In the fig, DE ll BC. find the value of EC

4

18

12

16

Tags

CCSS.HSG.SRT.B.4

6.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

The mathematician who proposed basic proportionality theorem

Pythagoras

thales

euclid

Aryabhatta

Tags

CCSS.HSG.SRT.B.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is

9 m

7 m

8 m

6 m

Tags

CCSS.8.G.B.8

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\Delta ABC$ is an isosceles triangle in which $\angle C=90\degree$ . If AC =6 cm, AB=

6 $\sqrt{2}$ cm

6 cm

2 $\sqrt{6}$ cm

4 $\sqrt{2}$ cm

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a $\Delta\ ABC$ , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects $\angle XYC$ , then

BC=CY

BC=BY

BC $\ne$ CY

BC $\ne$ BY

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Triangles 10TH CLASS

All circles are

All _____ triangles are similar

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

in the fig, if DE ll BC then find the value of AD

In the fig, DE ll BC. find the value of EC

The mathematician who proposed basic proportionality theorem

Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is

ΔABC\Delta ABCΔABC is an isosceles triangle in which ∠C=90°\angle C=90\degree∠C=90° . If AC =6 cm, AB=

In a Δ ABC\Delta\ ABCΔ ABC , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects ∠XYC\angle XYC∠XYC , then

In an isosceles triangle ABC, if AB=AC=25 cm and BC=14 cm, then the measure of altitude from A on BC is

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Discover more resources for Mathematics

$\Delta ABC$ is an isosceles triangle in which $\angle C=90\degree$ . If AC =6 cm, AB=

In a $\Delta\ ABC$ , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects $\angle XYC$ , then