The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle () A. 15°B. 30°C. 45°D. 60°

The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle () A. 15°B. 30°C. 45°D. 60°

Let the two right sides of a right triangle be a and B, and the hypotenuse be c. according to the square of the hypotenuse equal to twice the product of the two right sides, we can get: 2Ab = C2. According to the Pythagorean theorem, we can get: A2 + B2 = C2, so A2 + B2 = 2Ab, that is: A2 + b2-2ab = 0, (a-b) 2 = 0  a = B, then the triangle is an isosceles straight angle triangle, so the acute angle of the triangle is 45 °

The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle ()
A. 15°B. 30°C. 45°D. 60°

Let the two right sides of a right triangle be a and B, and the hypotenuse be c. according to the square of the hypotenuse equal to twice the product of the two right sides, we can get: 2Ab = C2. According to the Pythagorean theorem, we can get: A2 + B2 = C2, so A2 + B2 = 2Ab, that is: A2 + b2-2ab = 0, (a-b) 2 = 0  a = B, then the triangle is an isosceles straight angle triangle, so the acute angle of the triangle is 45 °

The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle ()
A. 15°B. 30°C. 45°D. 60°

Let the two right sides of a right triangle be a and B, and the hypotenuse be c. according to the square of the hypotenuse equal to twice the product of the two right sides, we can get: 2Ab = C2. According to the Pythagorean theorem, we can get: A2 + B2 = C2, so A2 + B2 = 2Ab, that is: A2 + b2-2ab = 0, (a-b) 2 = 0  a = B, then the triangle is an isosceles straight angle triangle, so the acute angle of the triangle is 45 °

In a right triangle, the square of the hypotenuse is equal to twice the product of two right angles. What is the minimum acute angle of the triangle?

Let the right angle side be a, B and the hypotenuse side be c
Then a & sup2; + B & sup2; = C & sup2;
And C & sup2; = 2Ab, so a & sup2; + B & sup2; = 2Ab, that is (a-b) & sup2; = 0
So a = B
So it's isosceles right triangle, acute angle = 45 degrees

The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle ()
A. 15°B. 30°C. 45°D. 60°

Let the two right sides of a right triangle be a and B, and the hypotenuse be c. according to the square of the hypotenuse equal to twice the product of the two right sides, we can get: 2Ab = C2. According to the Pythagorean theorem, we can get: A2 + B2 = C2, so A2 + B2 = 2Ab, that is: A2 + b2-2ab = 0, (a-b) 2 = 0  a = B, then the triangle is an isosceles straight angle triangle, so the acute angle of the triangle is 45 °

Ask a right triangle with an acute angle of 25 degrees and the adjacent side length of 0,9 meters to find the length of the hypotenuse

Length of hypotenuse
=0.9/cos25°
About 0.9930 (m)

A steel plate of a right triangle is drawn on a drawing with a scale of 1 / 200. The two right angles on the drawing are 5.4cm long, and their length ratio is 2:1
What is the actual area of this steel plate?

5.4×2/3=3.6cm 5.4-3.6=1.8cm
3.6÷1/200=720cm=7.2m
1.8÷1/200=360cm=3.6m
7.2 * 3.6 △ 2 = 12.96 square meters

Use 60 cm to form a right triangle, the length ratio of the three sides of the triangle is 3:4:5, the right triangle
Find the height on the hypotenuse

Let three sides be 3x, 4x and 5x respectively
3X+4X+5X=60
The solution is x = 5
So the two right angles are 15 and 20 respectively
Because the areas are equal, the product of two right angles equals the height of the hypotenuse multiplied by the hypotenuse
The height is 15 * 20 / 25 = 12

Use 60 cm to form a right triangle. The length ratio of the three sides of the triangle is 3:4:5. The right triangle is oblique

Oblique side length = 60 * 5 / (3 + 4 + 5) = 25cm

Use 60 cm to form a right triangle. The length ratio of the three sides of the triangle is 3:4:5. Find the height on the hypotenuse of the right triangle

The length of three sides is 60 × 3 / (3 + 4 + 5) = 15 cm
60 × 4 / (3 + 4 + 5) = 20 cm
60 × 5 / (3 + 4 + 5) = 25 cm
Equal utilization area
You can see
The height on the hypotenuse is 15 × 20 △ 25 = 12 cm