The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to
1 answer:
Answer:
<em>11 square units</em>
Step-by-step explanation:
Find the diagram attached
First we need to find the side length of the square with known areas.
Area of a square = L²
L is the side length of the square
For the green square
44 = L²
Lg = √44
For the purple square
Ap = Lp²
33 = Lp²
Lp = √33
Get the length (L) of the unknown square using pythagoras theorem;
Lg² = L²+Lp²
(√44)² = L²+(√33)²
44 = L²+33
L² = 44-33
L² = 11
Since Al = L²
<em>Hence the area of the square adjacent to the third side of the triangle is 11 square units</em>
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Answer:
They both have area 4
Step-by-step explanation:
Area of the square:
Area of the triangle:
Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:
We know the length of the diagonal is as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.