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If the base length of an isosceles triangle is 12cm and the waist length is 10cm, the height of the belt is? To be explained in detail
The height on the bottom edge is √ (102-62) = 8, s =? × 12 × 8 =? × 10 × H.H = 9.6 (CM)
There are two isosceles right triangles. The sum of their area is equal to the area of a square whose side length is 26cm. The sum of their area is equal to the side length
There are two isosceles right triangles. The sum of their area is equal to the area of a square whose side length is 26 cm. The sum of their area is equal to the area of a square whose side length is 26 cm. The difference of their area is equal to the area of a rectangle whose length and width are 5 cm and 2 cm respectively. What is the length of the hypotenuse of the right triangle with larger area product
Let the large triangle be x and the small one be y
There is x + y = (√ 26) ^ 2
x-y=5x2=10 ②
2X = 36 with 1 + 2
So x = 18 square centimeters
So the waist length of the big triangle is √ (18x2) = 6
According to Pythagorean theorem, the hypotenuse is √ (6 ^ 2 + 6 ^ 2) = 6 √ 2
In RT triangle ABC, if the length of three sides is a = 5m-2, B = m + 3, C = 9m-4, and the angle c = 90 degrees, then M =?
Angle c = 90 degrees, Pythagorean theorem: C ^ 2 = a ^ 2 + B ^ 2
(9m-4)^2=(5m-2)^2+(m+3)^2
81m^2-72m+16=25m^2-20m+4+m^2+6m+9
55m^2-58m+3=0
(55m-3)(m-1)=0
M = 3 / 55 or M = 1
When m = 3 / 55, 9m-4
In triangle ABC, D is the point on BC and E is the point on ad. it is proved that s triangle Abe / s triangle ace = BD / DC? Is solved by syllogism?
Can we use "syllogism" to explain it?
The answer is within 100 words
Dictation: make vertical lines from B and C to ad respectively, intersect P and Q, then s triangle Abe / s triangle ace = BP / CQ,
Since both BP and CQ are perpendicular to CD, according to the parallel rule, BP / CQ = BD / CD, so s triangle Abe / s triangle ace = BD / CD
There are three points ABC successively on the line L. if the length ratio of line AB to line BC is 2:3 And AB is equal to 2cm, then AC is equal to?
AC = 3 cm
Line AB equals 6cm, ABC equals 2cm on a straight line, find the length of AC
AC = 8 cm or 4 cm
As shown in the figure, in the triangle ABC, ab = AC, BD is the middle line on the waist AC, AB + ad = 15, BC + CD = 21, find the length of each side of the triangle ABC
According to the meaning of the title, ad = DC = 1 / 2 * AC,
Let ad = DC = x, then AB = AC = 2x
AB + ad = 2x + x = 15, x = 5
So AB = AC = 10
BC=21-CD=21-5=16
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