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

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Geometry Mathematics 2
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Find the height of an equilateral triangle having side 4 cm?

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

In the figure, PQRS is a square with side 10 cm. The sectors drawn with P and R as centres form the shaded figure. Find the area of the shaded figure. (Use π = 3.14)

[7] Mensuration
Chapter: [7] Mensuration
Concept: undefined >> undefined

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In a ΔABC, ∠CAB is an obtuse angle. P is the circumcentre of ∆ABC. Prove that ∠CAB – ∠PBC = 90°.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

Adjacent sides of a parallelogram are 11 cm and 17 cm. If the length of one of its diagonal is 26 cm, find the length of the other.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

PR2 = PS2 + QR × ST + `("QR"/2)^2`

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

Out of the following, which is the Pythagorean triplet?

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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?

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

In ∆RST, ∠S = 90°, ∠T = 30°, RT = 12 cm, then find RS and ST.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

In ∆ABC, seg AP is a median. If BC = 18, AB2 + AC2 = 260, Find AP.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined

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.

[2] Pythagoras Theorem
Chapter: [2] Pythagoras Theorem
Concept: undefined >> undefined
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