Given that the two right angles of a right triangle are 6 meters and 8 meters respectively, and the other side is 10 meters long, what are the three heights of the right triangle?

The two right sides of a right triangle are 6m and 8m respectively
The two right sides of a right triangle are the two heights of the right triangle, which are 6 meters and 8 meters respectively
The area of the triangle is 1 / 2 * 6 * 8 = 24 square meters
Make a high line across the right angle of the triangle on the other side
The other height of the triangle is (24 * 2) / 10 = 4.8m
The height of each of the three triangles is 6 M 8 m 4.8 M

The length of the hypotenuse of a right triangle is 10 meters. The length of the two right sides is 6 meters and 8 meters respectively. What is the height of the hypotenuse?

First, calculate the area: 6 × 8 △ 2 = 24 square meters, and then calculate the height on the slope: 24 × 2 △ 10 = 4.8 meters

The length of the side opposite the right angle is 10 meters, the other two sides are 8 meters and 6 meters respectively, and the height on the opposite side of the right angle is () meters Trees can be planted every 3.0 meters in the field

If the height on the slope is x meters, then
½×10×X＝½×8×6
5X＝24
X＝24/5＝4.8
A: the height on the bevel is 4.8 meters
(10 + 6 + 8) / 3 = 8 trees

A right triangle has a hypotenuse of 15 and an angle of 20 ° to find the shortest side length A.14.1 B.16.0 C.5.5 D.5.1

Because it is a right triangle, one angle is 20 ° and the other angle is 70 ° and because the hypotenuse is 15, in the triangle, the hypotenuse is the longest side. According to the large angle to the large side, 15 is the opposite side of 90 ° angle, then the side of 20 ° angle is the shortest side. According to the trigonometric function, sin90 ° / 15 = sin20 ° / X is obtained, and x value is the shortest side length
If it is a multiple choice question, choose D, and the final result is about 5.13

Proof: a triangle is a right triangle if the center line on one side is equal to half of this side

As shown in the figure: it is known that CD bisects AB, and CD = ad = BD,
Verification: △ ABC is a right triangle
Proof: ad = CD,
∴∠A=∠1．
Similarly, ∠ 2 = ∠ B
∵∠2+∠B+∠A+∠1=180°，
That is, 2 (∠ 1 + ∠ 2) = 180 °,
∴∠1+∠2=90°，
Namely: ∠ ACB = 90 °,
The △ ABC is a right triangle

Proof: if the median line of the hypotenuse of a triangle is equal to half of the hypotenuse, then the triangle is a right triangle

Let the hypotenuse of △ ABC be ab
Make AB center line CD
∵ CD = ad = BD = 1 / 2Ab (known)
Ψ CAD = ∠ ACD, ∠ DBC = ∠ BDC (equilateral and equal angle)
 CAD + ∠ ACD + ∠ DBC + ∠ BDC = 180 ° (the sum of inner angles of triangle is 180 °)
∴2∠ACD+2∠BCD=180°
∴∠ACD+∠BCD=∠ACB=90°
The △ ABC is a right triangle

In a right triangle, the angle a = 90 °, a = 12cm, B = 5cm, find the length of the third side

If the title does not indicate that a and B are right angle sides, two cases should be considered
1. If a is a right angle side, then B is also a right angle side. The third side is an oblique side, which is equal to √ (12? 2 + 5?) = 13cm
2. If a is an oblique edge, then B is a right angle side, and the third side is a right angle side, which is equal to √ 119cm

The center line of the hypotenuse of a right triangle is 5cm, and the angle side is three times of the other right angle side?

If a right angle side is x, then the other right angle side is 3x, and the hypotenuse is (root) 10x. Because the center line of the hypotenuse = half of the hypotenuse, the hypotenuse is 10cm, so x = root 10, so the right angle side is root 10, and the other right angle side is 3 root sign 10

Two of the squares of X - (2m-2) x + 5m + 8 = 0 are the lengths of the two right sides of a right triangle 10, find the value of M

Let two right angles be a and B respectively
∴a+b=2m-2
ab=5m+8
a²+b²=(a+b)²-2ab=100
4m²-8m+4-10m-16=100
2m²-9m-56=0
(2m+7)(m-8)=0
m=-7/2 m=8

Given that the two right sides of a right triangle are root 10 cm and root 15 cm respectively, can you work out the length and area of its oblique side

The hypotenuse is the square of root 10 plus the square of root 15, equal to 5. The area is root 10 times root 15 divided by 2, equal to 5 / 2 root 6

Given that the two right angles of a right triangle are 6 meters and 8 meters respectively, and the other side is 10 meters long, what are the three heights of the right triangle?