Question
ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8
cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?Solution
In the triangle ABC as AB=5 and AD is perpendicular to BD and so triangle ABD and triangle ADC are right angled triangles AB=5 and so triangle ABD other sides may be 3 and 4 as BD=4 is not possible because if BD=4 then DC=4 the perpendicular is becoming also a bisector the the triangle ABC should be isosceles but it not the case so BD=3 and AD=4 and so DC=5 In triangle ADC also the condition satisfies and so area of the triangle ABD=(1/2)*3*4 =6 sq cm
R and S invested Rs. 18,000 and Rs. 12,000 respectively in a venture. After 5 months, R withdrew Rs. 3,000 and T joined the partnership with Rs. 9,000. ...
The savings of G and H are equal. The difference between H's expenditure and the total savings of G and H is nil. H's income amounts to Rs. 45,000, and ...
‘D’ started a business with a capital of Rs. 15000. After 4 months, ‘E’ joined the business with a capital of Rs. 10000. 6 months after ‘E’,...
Rohit and Dev invested ₹32,000 and ₹18,000 respectively. For the next four months after the first month both kept on adding ₹2000 every month. In ...
'A' initially invested 75% of the total capital in a business. After 4 months, 'C' joined, and at that point, 'A's investment became 50% of the total ca...
P, Q and R enter into a partnership by investing Rs.5000, Rs.8000 and Rs.5600 respectively. After 4 months, P invested Rs.1400 more and Q withdraw the ...
Sonia and Isha started a business with investments of Rs. 3100 and Rs. 2300, respectively. Four months into the business, Jai joined them with an invest...
If the ratio of time periods of investment of A and B is 3:5, profit at the end of the year is Rs.120000 and A’s share in it is Rs.20000, then what is...
K starts a business by investing ₹75,000. Four months later, L joins the business, contributing an amount that is 20% more than K's investment. At the...
- ‘P’ and ‘Q’ invested Rs. 7200 and Rs. 4800 respectively for 9 months and 15 months. P kept 35% of his profit and donated the rest. His remaining pr...
