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According to the question, BC×AB = 1/2AC2 -----(1) BC2 + AB2 = AC2 -----(2) by Pythagoras Putting the value of AC2 in equation (2), BC2 + AB2 = 2BC × AB Or BC2 + AB2 - 2BC × AB = 0 Or (BC – AB)2 = 0 Or BC – AB = 0 Or BC = AB Hence ∠BAC = ∠BCA = 45 (As sum of two angles other right angle in a right angle triangle is 900).
In a classroom there are 12 boys and 10 girls. Average age of each boy and each girl is 22 years and 18 years respectively. The sum of ages of all the b...
Shruti's current age is 20% less than Suhana's age. Four years from now, the ratio of Suhana’s age to Shruti's age will be 11:9. What was the ratio of...
10 years ago, the ratio of the ages of Maya and Neil was 4:3. The present age of Jake is 10 years more than one-fourth of Neil’s present age. Find the...
The total age of A, B and C four years hence will be 88 years. Find the age of C five years hence, if the present age of A and B is 35 years and 25 year...
The current age ratio of Rahul to Sakshi is 3:2. Additionally, the ratio of Rahul’s age five years ago to Sakshi’s age ten ye...
Present ages of 'A' and 'B' are in the ratio 3:5, respectively. If B's age, 14 years hence from now will be 2 times of A's age, 8 years ago from now, th...
The current ages of 'Aman' and 'Bhanu' are in the ratio 2:5, respectively. 'y' years ago, the age of 'Bhanu' was twice the age of 'Chinky,' while 'y' ye...
Rishav's current age is 25% more than Sourav's current age. In 8 years, the ratio of their ages will be 5:6. What will be Rishav's age 10 years from now?
