The circumference of an isosceles triangle is 16 cm, and the height of the base is 4 cm. Find the le

Let the waist length of the isosceles triangle be a, and the bottom edge is 2b

So 2a+2b=16cm—a+b=8

Since the height of the bottom edge is 4cm

So a 2 = b 2 + 16

Substitute a=8-b to get.

64-16b+b^2=b^2+16

16b=64-16=48

b=3a=5

The waist of this triangle is 5cm long, and the bottom side is 6cm long

Waist 5 bottom 6 set waist x bottom 16-2x

Bottom half 8-x

Pythagorean theorem (8-x) 2 + x 2 = 4 2 gives x = 5

Let the bottom edge be long B, and the waist length A, then 2A+B=16, get: B=16-2A, the height on the bottom edge and the waist and half of the bottom edge conform to the Pythagorean theorem, that is, a square = 16 + (b 2) square, and the waist length 5 and the bottom edge 6 are obtained

The answer to the math supplementary exercise is called OK

Set the waist length x2x+100=400

x=150 is the bottom edge of the perpendicular line, divided into two equal sections of the bottom edge.

High = root number (150 2-50 2) = 100 root number 2 bottom 200 is the same as above.

2x+200=400

x=100100+100=200 does not form a triangle, so the bottom edge cannot be 200 if it is not established

Let the waist length be x, then the bottom length is 16-2x x square = 4 square + [8-x] square x=5 the bottom length is 6 and the waist length is 5 Follow-up question: Can you use the Pythagorean theorem? Well, we use the Pythagorean theorem to calculate that the square of the waist length is equal to the square of the height plus half the square of the base.

Let the waist length of this triangle be ACM, then the length of the bottom edge is (32-2x)cm, so the length of half of the bottom edge is (16-x)cm (16-x) 2+8 2=x 2 The solution of the theorem is x=10 So Soyou 32-2 10=12 Answer: The length of the two waists of this triangle is 10cm, and the length of the bottom is 12cm

Let the bottom edge length be 2x, and the waist length obtained from the known perimeter is (16-2x) 2=8-x;

The height and the waist of the bottom half form a right triangle, getting:

8-x) 2=x 2+4 2, solution: x=3

Therefore, the bottom edge length is 6cm, and the waist length is 5cm.

The bottom is 4cm in height, ?

The height on the bottom edge is 4cm, let the bottom edge be 2x cm, each waist = (16-2x) 2=8-x, (8-x) =4 +x, 64-16x+x =16+x

16x=64-16

x = 3, waist length = 8-x = 8-3 = 5 (cm), bottom edge = 2x = 6 (cm).

Let the waist be xcm and the bottom be (16-2x) cm, then the square of 4 + the square of the half of the bottom = the square of x (the height is also the middle line, and the three lines are in one line), so x is 5 and the bottom is 6

Let the bottom edge be long B, and the waist length A, then 2A+B=16, get: B=16-2A, the height on the bottom edge and the waist and half of the bottom edge conform to the Pythagorean theorem, that is, a square = 16 + (b 2) square, and the waist length 5 and the bottom edge 6 are obtained

Let the bottom edge be x

Then the waist length is: root number [(x 2) 2 + 4 2) = root number (x 2 4 + 16) according to the title: root number (x 2 4 + 16) + root number (x 2 4 + 16) + x = 16

2 * root number (x 2 4 + 16) = 16-x squared on both sides.

x^2+64=256-32x+x^2

32x=256-64

x = 6 (cm).

The waist length of an isosceles triangle is: (16-6) 2=5 (cm) Answer: The waist length of an isosceles triangle is 5 cm and the base length is 6 cm.

The area of the triangle: (a+b+c) 2=16 2=8 (square centimeters) The bottom edge of the triangle: 8*2 4 4 (centimeters).

Triangle waist: (16-4) 2 6 (cm) Answer: The sides of the triangle are 6 cm 6 cm and 4 cm respectively.

Hello: (16-4) 2

6 cm with equal waists.

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The bottom edge length is 6, and the Pythagorean theorem should be used.

Let the waist length be a, then the bottom is 16 2a, 4 2+(8-a) 2=a 2

Answer: Let isosceles abc, ab=ac=x, base bc=2y, high ad=4, from 2x 2y=16, x y=8, and the Pythagorean theorem: x y =4 , x y x y =16, get:

x y=2, composed of equations, solved: x=5, y=3, waist ab=ac=5, base bc=6

Let the length of the bottom side be 2x, then the length of both waists is (8-x), according to the Pythagorean theorem, then there is the square of x + the square of 4 = the square of (8-x), and we can solve x=3, that is, the length of the three sides is

Let the triangle waist length be a and the bottom be b

2a+b=16

a*a=4*4+(1 2)b*(1 2)b, so a=5, b=6

Let the edge be halo and the bottom be x, then 2y+x=16, according to the Pythagorean theorem, there is x*x 4+16=y*y, and the solution of this set of equations is obtained.

x=6，y=5