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Answer:
To prove that the triangle is a right- isosceles triangle, prove that
- There is a right angle in the triangle
- Two sides of the triangle are equal in length
Another way to prove that angle YXZ is a right angle is to calculate the length of XY, XZ and YZ using the distance formula. Then show that (YZ)² = (XY)² + (XZ)².
By the inverse of Pythagoras' Theorem, ∡YXZ is a right angle.
*The product of the gradients of 2 perpendicular lines= -1.
Please see the attached pictures for full solution.
Answer:
37.55 m
Step-by-step explanation:
To find the perimeter, we have to add the lengths of each part of the figure.
We start from the circle on top. We see that its diameter is 10 m, therefore its radius is
r = 5 m
(because the radius is half the diameter). The perimeter of a circle is given by
However, here we have half a circle, so its perimeter is
Then continuing in a clockwise direction, we have to add the length of the side of 2 m:
Then we have two sides of a square of side 5 m, so:
Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:
Finally, we have one more side of length 2 m:
Therefore, the total perimeter is: