Question
In a right triangle, if the altitude drawn to the
hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest angle?Solution
Let the right triangle be ABC with ∠ C = 90°. Let the altitude from C to AB divide the triangle into two equal-area triangles. The area of the triangle is (1/2) * base * height. Since the two smaller triangles have equal area, the altitude divides the hypotenuse into two equal parts. Thus, triangle ABC is an isosceles right triangle, and the smallest angle is 45°.
Given below an equation having four blanks you have to check from the alternatives which among the given is correct?
21 _ 51 _ 7 _ 12 _ 75
After interchanging the given two signs, what will be the value of the given equation?
X and –
64 + 15 ÷ 90 - 120 X 17
Select the correct combination of mathematical signs that can sequentially replace the “@” sign and balance the following equation.
16@5@4@2@...
If the ‘-’ and ‘×’ are interchanged, What will be the value of the following equation?
34 × 22 + 192 ÷ 12 – 8
...Which among the given operators should replace the “%” (in the same order) in the given expression below:
5 % 10 % 5 % 36 % 15 % 6
What will be the value of expression if the numbers/digits ‘(30)’ and ‘(13)’ are interchanged?
78 ÷ 30 × 6 + 13 - 14 + 12
...Select the correct combination of mathematical signs that can sequentially replace the sign * and make the equation correct.
3 * 12 * 4 * 5 * 4 * 116
Out of the total number of players, 100/3 % are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the...
Which two signs need to be interchanged to make the following equation correct?
75 – 18 × 80 ÷ 16 + 40 = 125
Select the correct combination of the mathematical signs to replace the ‘@’ symbols in the below equation and thereby balance it:
81@9@5@30@1...
