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*AD$$12*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:
Report Error

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:
Report Error

2 3449
Q:

In the given figure, if

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

Answer & Explanation Answer: B) 9 cm

Explanation:
Report Error

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:
Report Error

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:
Report Error

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:
Report Error

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:
Report Error

1 507
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

Answer & Explanation Answer: B) 12

Explanation:
Report Error

2 506