Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 1

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Question
Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm.
Options
A. 30
B. 40
C. 50
D. 60

Correct Answer

30

Explanation

Height of the triangle = $\sqrt{(13^{2} - 12^{2})} = \sqrt{25}$ = 5 cm.

Its area = $\frac{1}{2} * b a s e * h e i g h t$ = $\frac{1}{2} * 12 * 5$ = $30 c m^{2}$ .

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Area problems

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1. A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?
Options
A. 156
B. 166
C. 176
D. 186

2. The ratios of areas of two squares, one having its diagonal double than the other is
Options
A. 2:1
B. 2:3
C. 3:1
D. 4:1

3. The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height?
Options
A. 3 cm
B. 4 cm
C. 6 cm
D. 8 cm

4. A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is
Options
A. Rs. 258
B. Rs. 358
C. Rs. 458
D. Rs. 558

5. The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.
Options
A. B=900;H=300
B. B=300;H=900
C. B=600;H=700
D. B=500;H=900

6. The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.
Options
A. 30
B. 40
C. 50
D. 60

7. The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?
Options
A. 150
B. 250
C. 350
D. 550

8. A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.
Options
A. 136
B. 146
C. 166
D. 176

9. Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
Options
A. 84
B. 64
C. 44
D. 22

10. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Options
A. 20%
B. 30%
C. 40%
D. 50%

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