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
(106 + 14)/15 = ?/5
What will come in place of (?) question mark in the following expression.
(123 ÷ 62) × 15 - 120 = ?
Evaluate: 360 ÷ [ {18 − (6×2)} × 5 ] + 72 − 33
What will come in the place of question mark (?) in the given expression?
? × 18 + 3072 ÷ 24 = 20% of 1900Â
Find the value of 45 - 3 x (4 of 6 + 12 ÷ 3 × 6 – 4 × 5) + 6.
Determine the value of ‘a’ if a = √529 + √1444
Simplify the following expression:
345 = √2704 ÷ (?% of 104) + 7 3
(7/4×18/21)+ (51/7× 28/17) + (25/2 × 48/10) =?
Simplify the following questions and choose the correct option.
[(96 ÷ 12)² + (45 × 4 ÷ 9)] − (3/4 of 64) = ?
