Pythagoras Theorem

 $In\ a\ right\ angled\ \Delta$ , if the lengths of the sides containing the right angle are 20 cm and 21 cm, then the length of its hypotenuse is :

• 24 cm

• 25 cm

• 26 cm

• 29 cm

Tags

CCSS.HSG.SRT.C.8

If the sides of a rectangular plot are 40 m and 9 m, then the length of its diagonal is :

• 31 m

• 41 m

• 45 m

• 49 m

Tags

CCSS.HSG.SRT.C.8

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

• 7 m

• 17 m

• 23 m

• 120 m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

AD is drawn  $\perp$  to base BC of an equilateral  $\Delta$   ABC. If BC = 10 cm, then the length of AD, correct to one place of decimal is 

•  $8\cdot5\ cm$  

•  $8\cdot6\ cm$  

•  $8\cdot7\ cm$  

•  $8\cdot8\ cm$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 $In\ a\ right\ angled\ \Delta$ , if hypotenuse is 10 cm and the ratio of the other two sides is 3 : 4, then these sides are : 

• 6 cm and 8 cm

• 9 cm and 12 cm

• 3 cm and 4 cm

• 9 cm and 16 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is :

• 8 m

• 10 m

• 16 m

• 32 m

Tags

CCSS.HSG.SRT.C.8

In a rhombus, if the lengths of the diagonals are 10 cm and 24 cm, the length of the side of the rhombus is :

• 5 cm

• 12 cm

• 13 cm

• 17 cm

Tags

CCSS.HSG.CO.C.11

Two poles of heights 6 m and 13 m stand vertically on a plane ground. If the distance between their feet is 24 m, the distance between their tops is :

• 25 m

• 13 m

• 31 m

• 19 m

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

If the diagonal of a square is 8 cm long, then its perimeter is :

• $4\sqrt{2}\ cm$

• $16\sqrt{2}\ cm$

• 32 cm

• 64 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The hypotenuse of a right-angled triangle is 5 cm less than twice the shortest side. If the third side is 5 cm more than the shortest side, then the shortest side of the triangle is :

• 10 cm

• 15 cm

• 20 cm

• 25 cm

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

CCSS.HSG.SRT.C.8