In tringle abc ab=6cm,angle B=90 find ac,bc and angleA
To find the lengths of AC and BC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Given that AB = 6 cm and angle B = 90°, we can assume that AB is the hypotenuse of triangle ABC.
Using the Pythagorean theorem:
AC^2 = AB^2 - BC^2
Since AB = 6 cm and angle B = 90°, we have:
AC^2 = 6^2 - BC^2
AC^2 = 36 - BC^2
Now, let's determine the value of BC.
In a right triangle with angle B = 90°, the side opposite angle A (BC) is called the altitude or height. It splits the triangle ABC into two smaller triangles, one of which is a right triangle. You can use trigonometric ratios to find BC.
In triangle ABC, sin A = BC / AB
Since angle B = 90°, sin A = BC / 6
To find the value of sin A, you need angle A. Since we don't know angle A, we need another piece of information to solve the problem.
Please provide additional information such as another side length or angle measurement, and I'll be happy to assist you further.
day public is not your subject matter, it is the name of your school. If you want a geometry tutor, put "geometry" in your subject line.
Not enough information,
you need either another angle or another side