SOLUTION: One of the legs of a right triangle has length √19 cm The sum of the lengths of the hypotenuse and the other leg is 19 cm. What is the area of this triangle in square centime
Algebra.Com
Question 355099: One of the legs of a right triangle has length √19 cm The sum of the lengths of the hypotenuse and the other leg is 19 cm. What is the area of this triangle in square centimeters?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The legs have measure and b, the hypotenuse, c. We have to find the area . It is given that , and so . From the Pythagorean theorem, , or
.
By direct substitution,
,
,
,
,
, after dividing both sides by 19.
. This area is then sq. cm.
RELATED QUESTIONS
The hypotenuse of a right triangle is four times the length of one of the legs. The... (answered by Alan3354)
The hypotenuse of a right triangle is twice the length of one of the legs. The length of... (answered by ikleyn)
The length of one leg of a right triangle is twice the length of
the other. The... (answered by rfer)
The hypotenuse of a right triangle is √29 cm. One leg is 8 cm shorter than twice... (answered by nyc_function)
The hypotenuse of a right triangle is 10cm. One of the legs is two cm than the other leg. (answered by richwmiller)
The hypotenuse of a right triangle is the square root of 13cm. One leg is 1 cm shorter... (answered by mananth)
One leg of a right triangle is 7 cm less than the length of the other leg. The length of (answered by mananth)
The hypotenuse of a right triangle is 13 cm. One leg of the triangle is 7cm longer than... (answered by stanbon)
14. The hypotenuse of a right triangle
measures 29 cm. One leg is 1 cm shorter
than the (answered by RedemptiveMath)