Selena Henson is planning a patio that will adjoin the sides of her L-shaped home. One side of the patio is 8 ft and the other is 6 ft . The shape of the patio is triangular. Determine a representation of the patio and find the perimeter if the length of the third side is 10 ft .

The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{m} \) Length of the longer leg: \( \square \mathrm{m} \) Length of the hypotenuse: \( \square \mathrm{m} \)

The diameter of a circle measures 20 ft. What is the circumference of the circle?Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

506 Un trapezio isoscele \( A B C D \) ha gli angoli adiacenti alla base maggiore \( A B \) di \( 45^{\circ} \). La somma della base mag- giore e del doppio della minore è 21 cm , mentre la som- ma della base minore e dell'altezza è 8 cm . Determina l'area del trapezio. [ \( \left.24 \mathrm{~cm}^{2}\right] \)

ai The sides of a big triangle measure 100 m each. The sides of a small triangic measure 10 m less than the sides of the big triangle. fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian is the ditference between the two perimeters?

The shorter leg of a right triangle is 9 m shorter than the longer leg. The hypotenuse is 9 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: Length of the hypotenuse: \( \square \mathrm{m} \)