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
I. x²= 961Â
II. y= √961
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
Equation 1: x² - 200x + 9600 = 0
Equation 2: y² - 190y + 9025 = 0
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 375 = 0
Equation 2: y² - 36y + 324 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
