17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

12.25,12.25,7

Step-by-step explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

idn

step-by-step explanation: