The perimeter of a right triangle is 160 , and the hypotenuse is 68 . Find the area of the right triangle.

7) Даны векторы \( \vec{a}\{-4 ; 1\}, \vec{b}\{0 ;-2\}, \vec{c}\{3 ;-1\} \). 1. Найдите координаты вектора \( \vec{m}=\vec{a}-2 \vec{b}+3 \vec{c} \). 2. Запишите разложение вектора \( \vec{m} \) по координатнь векторам \( \vec{\imath} \) и \( \vec{\jmath} \).

A two-kilometre \( (2 \mathrm{~km}) \) pler and a one-kilometre \( (1 \mathrm{~km}) \) pler extend perpendlcularly into the ocean with four kilometres \( (4 \mathrm{~km}) \) offshore between the two plers. A swimmer wishes to swim from the end of the longer pier to the end of the shorter pler with one rest stop on the beach. Assuming that the swimmer recalls that, in any right-angled triangle, Hypotenese Find the shortest possible length of the swim and the location of the rest stop (land distance from the longer pier).

What is a circle?

1-Patricia precisou comprar uma escrivaninha. Antes de efetuar a compra, ela calculou a área da escrivaninha para saber se caberia no seu quarto. Sabende que as dimensoes da escrivaninha sáo 50 cm de largura por 120 cm de comprimento, qual a área que Patricia encontrou ao efetuar seu calculo?

Tegn en figur som illustrerer \( 13 \% \).