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Finding the length of two waists of an isosceles right triangle with known base length of 6
Isosceles right triangle side length = oblique side length × sin45 = 6 × (root 2) / 2 = 3 pieces 2
An isosceles right triangle with a waist length of 75 and an angle of 45
75*√2 ≈106.066
An isosceles right triangle, waist length 1900, angle 45
The bottom edge is 1900 * root, 2 ≈ 2686.6
If the waist length of an isosceles right triangle is one, then its base length is? (write down the steps)
According to the Pythagorean theorem, the square of the waist length + the square of the waist length = the square of the bottom edge, so the bottom edge = the root 2
How long is the isosceles triangle
Isosceles right triangle,
The waist length is 2 * (root 2)
The square of 2 * (root 2) + 1 * (root 2) = 10
Therefore, the length of the midline above the waist is (root number 10)
We know that the base length of an isosceles right triangle is four
A plane rectangular coordinate system is established with the bottom edge as X axis and the line perpendicular to the bottom edge passing through the midpoint of the bottom edge as the Y axis
The coordinates of the three points are: the coordinates of the bottom two points (- 2,0) (2,0) and the coordinates of the vertex (0,2)
The coordinates of the midpoint of the waist are (1,1). The length of the midline on the waist is the distance from the point (1,1) to (- 2,0)
There is a formula for the distance between two points: l waist = √ 10 (root 10) (the root cannot be played,
If the hypotenuse of an isosceles right triangle is 10, then the waist length is______ The height on the hypotenuse is______ .
∵ the hypotenuse of an isosceles right triangle is 10,
The waist length=
Two
2×10=5
2，
Height on bevel = 10 × 1
2=5．
So the answer is: 5
2；5．
Isosceles right triangle oblique side length 303.5cm, how many waist length?
Since it is an isosceles right triangle, there are two ways to find it
[solution 1]: if x is to be x, then according to Pythagorean theorem, x 2 + x 2 = 303.5? And x = 214.6 cm
[solution 2]: if the angle between the right angle side and the hypotenuse of an isosceles right triangle is 45 °, then the right angle side (waist length) = diagonal length xsin45 ° = 303.5x0.707 cm
=214.6 cm
The length of the base of isosceles right triangle is 6cm
Isosceles right triangle: waist length = base length ×√ 2 / 2
Waist length = 6 ×√ 2 / 2 = 3 √ 2
As shown in the figure, ad is the center line on the bottom edge BC of the isosceles △ ABC, and P is any point on the straight line ad. verification: BP = CP
∵ ad is the center line on the bottom edge BC of the isosceles △ ABC,
ν ad ⊥ BC, ad bisection ∠ BAC,
The AP is the vertical bisector of BC,
∴BP=CP．
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