The hypotenuse of a right triangle measures 6*sqrt{2} inches and one angle is 45 degrees. What is the number of square inches in the area of the triangle?
Answers
Answered by
5
Answer:
Area = 18 sq. inches
Step-by-step explanation:
Hypotenuse = 6√2
as it is a right angled triangle and one of the angles is 45°,
=> the other angle is also 45°.
According to 45°-45°-90° theorem,
the side is 1/√2 times the hypotenuse.
Therefore, side = 6√2 × 1/√2
=6 inches.
Area of triangle = 1/2 × base × height
= 1/2 × 6 × 6
= 1/2 × 36
=18 sq. inches
Similar questions