71
Q:

The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?

A) 50 B) 60
C) 70 D) 80

Answer:   B) 60



Explanation:

let ABC be the isosceles triangle, the AD be the altitude 

Let AB = AC = x then BC= 32-2x       [because parameter = 2 (side) + Base] 

since in an isoceles triange the altitude bisects the base so 

BD = DC = 16-x 

In a triangle ADC, AC2=AD2+DC2 

x2=82+16-x2 x=10 

BC = 32-2x = 32-20 = 12 cm 

Hence, required area = 12*BC*AD12*12*10 = 60 sq cm

Q:

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Its area is:

 

A) 48 cm2 B) 28 cm2
C) 69 cm2 D) 96 cm2
 
Answer & Explanation Answer: D) 96 cm2

Explanation:
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4 7682
Q:

In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:

 

 

 

A) 3 cm B) 14 cm
C) 2 cm D) 4 cm
 
Answer & Explanation Answer: D) 4 cm

Explanation:
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2 3449
Q:

In the given figure, if AB=8Cm, AC=10Cm, ABD=90° and AD=17Cm, then the measure of CD is

 

 

A) 8 cm B) 9 cm
C) 11 cm D) 10 cm
 
Answer & Explanation Answer: B) 9 cm

Explanation:
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2 1227
Q:

In the given figure, APO=35° if then which of the following options is correct?

 

 

A) ∠APB = 60° B)  ∠APB = 80°
C)  ∠APB = 35° D) ∠APB = 55°
 
Answer & Explanation Answer: C)  ∠APB = 35°

Explanation:
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1 6571
Q:

The area of a semicircle is 77 sq.cm. Calculate its perimeter (in cm)

 

A) 72 B) 49
C) 98 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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0 4286
Q:

The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in sq.cm)

 

A) 336 B) 168
C) 240 D) 480
 
Answer & Explanation Answer: B) 168

Explanation:
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0 530
Q:

The area of an equilateral triangle is 18√3 sq.units. Find the value of side (in units) of the triangle.

 

A) √2 B) 2√2
C) 3√2 D) 6√2
 
Answer & Explanation Answer: D) 6√2

Explanation:
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1 507
Q:

An arc length of 16π units subtends an angle of 240 degrees. Find the radius 9in units) of the circle.

 

 

A) 6 B) 12
C) 24 D) 36
 
Answer & Explanation Answer: B) 12

Explanation:
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2 506