SOLUTION: In right triangle ABC, the measure of angle A is 45°. If the hypotenuse of the triangle has length 5, what is the length of segment BC?
Algebra.Com
Question 515129: In right triangle ABC, the measure of angle A is 45°. If the hypotenuse of the triangle has length 5, what is the length of segment BC?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
The triangle ABC is an isosceles right triangle this means that the legs are equal
Using the Pythagorean theorem we write:
where x is the length of each leg. Solving the equation we get:
Rationalizing the denominator
Answer: The length of segment BC is
RELATED QUESTIONS
In right triangle ABC, the measure of angle A is 45°. If the hypotenuse of the triangle... (answered by ewatrrr)
Right triangle ABC has one leg of length 6 cm, one leg of length 8 cm and a right angle... (answered by greenestamps)
if the hypotenuse of a right triangle is 13 and the length of the legs are 12 and 5, what (answered by Alan3354)
If the hypotenuse of a right triangle is 13 and the length of the legs are 12 and 5, what (answered by Alan3354)
What is the length of the hypotenuse of the right triangle ABC if AC=6 and... (answered by RAY100)
If the legs of a right triangle measure 5 cm and 12 cm, what is the length of the... (answered by user_dude2008)
In a right triangle ABC, the hypotenuse is AB, with AC=5 and BC=12. Make a square ABLH... (answered by MathLover1)
Right triangle ABC has one leg of length 6 cm, one leg of
length 8 cm and a right angle... (answered by nyc_function)
A isosceles triangle ABC has A= 45 degree angle and b=c=3 what is the length of a squared (answered by amarjeeth123)