Question
In a right triangle ABC, angle B = 90°. If tan A = 3/4
and the length of the hypotenuse is 25 cm, find the area of the triangle.Solution
ATQ,
We have a right triangle with: tan A= 3/4, meaning the opposite side is 3x and the adjacent side is 4x. The hypotenuse is 25 cm.
Use the Pythagorean theorem: (3x)2 + (4x)2 = 252
Solve for x, which gives x=5. The sides of the triangle are: Opposite side = 3x=15 cm, Adjacent side = 4x=20 cm. The area is = (1/2) × 15 cm × 20 cm = 150 cm2
If ‘%’ means (÷), ‘&’ means (+), ‘$’ means (×), and ‘@’ means (-), then what is the value of the expression:
25 & 35 % 7 @ 14 $...
Which two signs need to be interchanged to make the following equation correct?
62 – 12 × 60 ÷ 12 + 30 = 92
In a certain code language, '+' represents '-', '-' represents 'x', 'x' represents '÷' and '÷' represents '+'. Find out the answer to the following qu...
Which two digits and signs can be interchanged so as to balance the given equation?
406- 102 + 128 X 5 ÷ 58 = 545
If 'A > B' means 'A + B', 'A < B' means 'A X B', 'A ≥ B' means 'A - B' and 'A ≤ B' means 'A ÷ B', then what is the value of the expression '112 ≤...
- If ‘%’ means (÷), ‘&’ means (+), ‘$’ means (×), and ‘@’ means (-), then what is the value of the expression:
42 & 54 % 9 @ 11 $ 3 Which two signs should be interchanged to make the below equation mathematically correct?
9 ÷ 3 + 6 – 6 × 2 = 30
A recent survey of married couples in Indian metro cities showed that 20% of the couples have only one child, 45% of the remaining couples have two chil...
If + means ÷, × means +, ÷ means – and – means ×, then find the value of 48 × 35 – 5 + 7 ÷ 7 – 9
...Select the combination of numbers that when placed sequentially in the blanks of the given series will complete the series.
r s _ u _ w x _ z _ s...
