It is known that the ratio of two right sides of a right triangle is 1:2, and the length of the hypotenuse is Find the area of this right triangle

It is known that the ratio of two right sides of a right triangle is 1:2, and the length of the hypotenuse is Find the area of this right triangle

Let the shorter right angle side be x, then the other right angle side is 2x. According to Pythagorean theorem, X2 + (2x) 2 = 50=
10.
The area of a right triangle is 1
2 x
10×2
10=10.

When the two right angles of a right triangle are 9 cm and 40 cm respectively, how long is the oblique side

According to the Pythagorean theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two right sides

The length of two right angles of a right triangle is 3.9 cm and 5.2 cm, and the hypotenuse is 6.5 cm. What is the height of the hypotenuse

3.9*5.2/2*2/6.5=3.12

The AB side length of the right triangle ABC is 3cm, BC side length is 4cm, AC side length is 5cm. After rotating the AB side as the axis, a solid figure is formed Can you calculate the volume of this solid figure?

A right triangle should be divided into three cases, because you don't know which side to rotate around. 1. Rotate around the right angle side. Take AB as an example, the bottom of a cone around the city is 2BC = 8, and the height is 3. If you bring in the coning formula, you can draw another right angle side in the same way. 2. If you rotate with an oblique side, it may be troublesome

The three sides of right triangle ABC are AC = 3, ab = 1.8, BC = 2.4, ED is perpendicular to AC, and ED = ah, what is the side length of square bfeg? The bottom one is C on the far right and G in the middle

Because AC = 3, ab = 1.8, BC = 2.4, BD = 1.44, because ed = ah, be = bd-ed = 1.44-ah. In the right triangle Berg, let BG = eg = a, so a = radical 2 (1.44-ah) / 2, so the side length of square bfeg is: root 2 (1.44-ah)

It is known that: as shown in the figure, if the right angle side length of the isosceles right triangle ABC is 16, D is on AB, and DB = 4, M is a moving point on AC, then the minimum value of DM + BM is () A. 20 B. 16 Two C. 16 D. 24

Connecting ab ′, ∵ ABC is an isosceles right triangle,  BAC = 45 °, ∵ point B and point B 'are symmetric about the straight line AC, ? be = B ′ e, ? AEB = ∵ AEB ∵ in △ Abe and △ ab ′ e, ∵ AE = AE ∠ AEB ∵ be = B ′ e, ? Abe ≌△ ab ′ e,  ABB ′ is isosceles right triangle

As shown in the figure, in the isosceles right triangle ABC, P is a point on the hypotenuse, PE is perpendicular to AB, PF is perpendicular to AC, It is proved that De is perpendicular to DF

There are pictures and processes, please adopt after reference!

The length of the two right sides of a right triangle is 14 cm. Their length ratio is 3 to 4. If the hypotenuse is 10 cm long, what is the height of the hypotenuse

14 × 3 / (3 + 4) = 6 (CM) the length of a right angle side
14 × 4 / (3 + 4) = 8 (CM) the length of the other right angle side
Let the height on the hypotenuse be h cm, and the base of the triangle formed by the height on the hypotenuse and the right angle side of 6cm is x cm
X square + H square = 6 square = 36
H square + (10-x) square = 8 square = 64
The solution is: x = 3.6
H = 6.99696
2. Let the side length of two right angles be a cm and B cm respectively, and the height on the bevel side is h cm
Then a + B = 14, a: B = 3:4
So a = 6 cm, B = 8 cm
6X8÷2=10Xh÷2
H = 4.8 cm

The length of the hypotenuse of a right triangle is 10 cm, and the length ratio of the two right sides is 3:4

Because the length of the right angle side is 3:4
The ratio of the three sides is 3:4:5
So a right angle side is: 10 ÷ 5 × 3 = 6cm
The other right angle side is: 10 △ 5 × 4 = 8cm
The area is: 6 × 8 △ 2 = 24 square centimeter
If you don't understand, you can ask
If you have any help, please accept it. Thank you

The length of two right angle sides of a right triangle is 3:4 and the sum is 14 cm. The length of the hypotenuse is 10 cm. How many cm is the height on the hypotenuse?

The two right angles are 14 × 3 / (3 + 4) = 6, 14 × 4 / (3 + 4) = 81 / 2 × 6 × 8 × (1 / 2 × 10) = 4.8