SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions for Geometry Mathematics 2

In the given figure, seg PS is the median of ∆PQR and PT ⊥ QR. Prove that,

PR² = PS² + QR × ST + `("QR"/2)^2`

In ∆ABC, point M is the midpoint of side BC. If, AB² + AC² = 290 cm², AM = 8 cm, find BC.

Out of the following, which is the Pythagorean triplet?

Some question and their alternative answer are given.

In a right-angled triangle, if sum of the squares of the sides making right angle is 169 then what is the length of the hypotenuse?

Find the perimeter of a square if its diagonal is `10sqrt2` cm:

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

Altitude on the hypotenuse of a right angled triangle divides it in two parts of lengths 4 cm and 9 cm. Find the length of the altitude.

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. (\[\pi = \frac{22}{7}\])