Question

please answer the third questionIf side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. Calculate the area of the red triangle to find the area of the garden. Show your work. (3.) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?

Answer 1

Here, we want to use the converse of the Pythagorean theorem to check if the roped off area is in the shape of a right triangle

According to the converse, we have it that;

if;

$c^2=b^2+a^2$

Then, we have a right triangle, given that c is the longest side

So, by using the side lengths of the roped off area, if the square of the length of the longest side of the roped off area is equal to the sum of the squares of the other two sides of the roped off area, then what we have is a right triangle