Home
Class 14
MATHS
angle ACB is an angle in the semicircle ...

`angle ACB` is an angle in the semicircle of diameter AB = 5 and AC : BC = 3:4. The area of the triangle ABC is

A

6 sq. cm

B

`6 sqrt(2)` sq. cm

C

4 sq. cm

D

12 sq. cm

Text Solution

Verified by Experts

The correct Answer is:
A
अर्धवृत्त का कोण समकोण होता है।
`therefore angle ACB = 90^(@)`
`therefore (3x)^(2)+ (4x)^(2) =5^(2)`
`rArr 25 x^(2)=25`
`rArr x^(2)=1`
`rArr x =1`
`therefore AC =3, BC =4`

`therefore Delta ABC` का क्षेत्रफल `=(1)/(2) xx3xx4=6 cm^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

In Delta ABC,AB=6cm,BC=7cm and AC=5cm .The area of Delta ABC is

The side BC of Delta ABC is produced to D. The bisectors of angle ABC and angle ABD meet at E. If AB = AC and angle BEC = 24 ^(@). then the measure of angle ABC is :

ABC is a triangle, where BC = 2AB , angle B = 30^@ and angle A = 90^@ . The magnitude of the side AC is

In a triangle ABC, BC = sqrt(39) , AC = 5 and AB = 7. What is the measure of the angle A?

In Fig 12.58, ABC is a triangle right angled at A. Semicircles are drawn on AB and AC as diameters. Find the area of the shaded region.

In a triangle ABC , 2 angle ABC=9 angle ACB and 2 angle BAC = 7 angle ACB . If AB = 8 cm, AC = 17 cm, then the length of BC is: triangle ABC में, 2 angle ABC=9 angle ACB और 2 angle BAC = 7 angle ACB | यदि AB =8 सेमी, AC =17 सेमी है, तो BC की लंबाई है:

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