Given the length of the three sides of a triangle, how to find the height of the triangle?

Given the length of the three sides of a triangle, how to find the height of the triangle?

First, find the area s = √ [P (P - a) (P - b) (P - C)], where p = (a + B + C) / 2. If we know the area and the length of three sides, how can we find the corresponding height

Given the length of one side and three heights of a triangle, how to find the perimeter of a triangle
How to calculate the other two sides

Let's turn the problem to △ ABC,
It is known that edge BC = a, ad, be and CF are the heights of three sides respectively,
Find: AB and AC, and perimeter AB + BC + AC
The area of △ ABC can be expressed as:
S△ABC=BC*AD/2
S△ABC=AC*BE/2
S△ABC=AB*CF/2
So BC * ad / 2 = AC * be / 2 = AB * CF / 2
So a * ad = AC * be = AB * CF
Ad, be and CF are all known, and AC and ab are required
So AC = a * ad / be, ab = a * ad / CF
So perimeter = AB + AC + BC = (a * ad / be) + (a * ad / CF) + a = a * [(AD / be) + (AD / CF) + 1]
Do you understand?

The length of two adjacent sides of a triangle is increased by 20%. How much is the area of the triangle increased? How to calculate with the algorithm of primary school

（1+20%）（1+20%）-1=1.2*1.2-1=1.44-1=0.44=44%
A: the area has increased by 44%

It's triangular that can rate the area of a triangle
A midline
B high
Bisector of angle c
D does not exist

Bisector of angle c
A center line (divide the sides equally)

Parallelogram area = base × height (s = ah) > corresponding ＾ triangle area = base × height △ 2 (s = ah △ 2)

This is the conclusion that "the area of a triangle is equal to half of the area of a parallelogram", but with preconditions:
In the case of the same base and equal height, the area of triangle is equal to half of the area of parallelogram. Therefore, there is no restriction. Your formula is wrong and must be the same base and equal height

Triangle area formula ah / 2A

The base length of a triangle

The bottom of a parallelogram and a triangle are equal, their area ratio is 2:3, and the ratio of height is ()

Let the height of parallelogram be x and the height of triangle be y
Their bottom is a
Then a * 2x: 1 / 2 * a * y = 2:3
3ax=ay
x:y=1:3

Parallelogram: height 8, bottom 4, triangle: bottom 8, height 8. Which area is bigger, parallelogram or triangle?

Parallelogram: height 8, bottom 4, triangle: bottom 8, height 8. Which area is bigger, parallelogram or triangle?
The same big as that

A parallelogram has the same area and bottom as a triangle. The height of a parallelogram is 4.5cm. What is the height of a triangle?

4.5x2 = 9cm

A triangle and a parallelogram have the same base and area. The parallelogram is 4.8 cm high and the triangle is () cm high?

A triangle and a parallelogram have the same base and area. The parallelogram is 4.8 cm high and the triangle is (9.6) cm high
4.8x2=9.6