SSC (English Medium) १० वीं कक्षा - Maharashtra State Board Question Bank Solutions

Height and base of a right angled triangle are 24 cm and 18 cm find the length of its hypotenuse

Some question and their alternative answer are given. Select the correct alternative.

 In ∆ABC, AB = \[6\sqrt{3}\] cm, AC = 12 cm, BC = 6 cm. Find measure of ∠A.

Find the height of an equilateral triangle having side 2a.

Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason

Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.

A side of an isosceles right angled triangle is x. Find its hypotenuse. 

Prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Sum of the squares of adjacent sides of a parallelogram is 130 sq.cm and length of one of its diagonals is 14 cm. Find the length of the other diagonal.

In the given figure, O is the centre of the sector. \[\angle\]ROQ =  \[\angle\]MON = 60^° . OR = 7 cm, and   OM = 21 cm. Find the lengths of  arc RXQ and arc MYN. (\[\pi = \frac{22}{7}\]) 

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210^°,  find the area of the sector in case.

The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - three right angles; find the area of the sector in case.

The area of a minor sector of a circle is 3.85 cm² and the measure of its central angle is 36^°. Find the radius of the circle.

In the given figure,

\[\square\] PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y, and z.