Home
Class 12
MATHS
Let ABC be a right angled triangle with ...

Let ABC be a right angled triangle with BC=5 cm and AC=12 cm. Let D be a point on the hypotenuse that AB such that `angle BCD=30^@` What is the length of CD ?

Text Solution

Verified by Experts

With tth given details we can draw the diagram.
Please refer to video for the diagram.
Here, `/_BCD = 30^2`
`:. /_ACD = 90^@-30^@ = 60^@`
Let `CD = x` cm
Now, Area of `DeltaBCD` + Area of `Delta ACD` = Area of `Delta ABC`
`=>1/2**x**5**sin30^@+1/2**x**12**sin60^@ = 1/2**5**12`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Let ABC be a right angled triangle with BC = 5 cm and AC = 12 cm. Let D be a point on the hypotenuse AB such that angleBCD = 30^(@) . What is length of CD ?

In a right angled triangle base BC= 15 cm and sinB=(4)/(5) , then what is the length of hypotenuse AB ?

ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, then the inradius of the circle is :

ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, then the inradius of the circle is :

in a right angled triangle ABC with angleC=90^(@),AB=5cm and BC=3cm . find AC

ABC is a triangle right angled at C. If AB=25cm and AC=7cm, find BC.

ABC is a triangle right angled at C. If AB=25cm and AC=7cm, find BC.

Delta ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.