11
Q:

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

 A) 24 B) 48 C) 60 D) 72

Explanation:

Let ABC be the isosceles triangle and AD be the altitude

Let AB = AC = x. Then, BC = (32 - 2x).

Since, in an isosceles triangle, the altitude bisects the base,
so BD = DC = (16 - x).
In triangle ADC,$AC2=AD2+DC2$

$⇒x2=82+16-x2⇒x=10$

BC = (32- 2x) = (32 - 20) cm = 12 cm.

Hence, required area =  $12*BC*AD=12*12*8=48cm2$

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

Explanation:

6 12881
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

Explanation:

2 6866
Q:

In the given figure, if

 A) 8 cm B) 9 cm C) 11 cm D) 10 cm

Explanation:

2 1628
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°

Explanation:

1 13858
Q:

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

 A) 72 B) 49 C) 98 D) 36

Explanation:

0 7812
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

Explanation:

0 787
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

Explanation:

1 777
Q:

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

 A) 6 B) 12 C) 24 D) 36