Given that the lengths of the two right angles of a right triangle are 5 and 12 respectively, find the height of the hypotenuse and the hypotenuse (Pythagorean theorem)

Given that the lengths of the two right angles of a right triangle are 5 and 12 respectively, find the height of the hypotenuse and the hypotenuse (Pythagorean theorem)

From Pythagorean theorem
The hypotenuse is √ (5? 2 + 12? 2) = 13
The area of the triangle is 5 × 12 △ 2 = 30
And the area is also equal to the slope × the height on the slope △ 2 = 30
So the height on the hypotenuse = 30 × 2 △ 13 = 60 / 13
I'm very happy to answer for you, and the 1900 team will answer for you
Please click the [select as satisfied answer] button below,
If you have any other questions, you can ask me for help

How to use Pythagorean theorem to calculate the length and angle of inclined edge of stairs If I know the horizontal height of the stairs, how can I calculate the degrees of the two corners when I know the length

Let the horizontal height of the stair is a, the length is B, and the degree of the two corners is X,
Then TaNx = B / A, calculate x, then subtract X by 90 degrees to make an angle

In learning Pythagorean theorem, we learn to use graph (I) to verify its correctness (a + b) 2 can also be expressed as: C2 + 4 · (1) 2ab), That is (a + b) 2 = C2 + 4 · (1) 2Ab) the Pythagorean theorem A2 + B2 = C2 is derived. This method can be used to infer or verify mathematical laws and formulas intuitively according to graphs, which is called "wordless proof" (1) (II) please use the square section of four figures to verify the theorem; (2) Please use the graph provided in (III) to combine and verify (x + y) 2 = x2 + 2XY + Y2 with the area expression of the combined graph; (3) Please design your own combination of graphics and verify with the area expression: (x + P) (x + Q) = x2 + PX + QX + PQ = x2 + (P + Q) x + PQ

(1) The area of the big square is C2, the area of the blank part in the middle is (B-A) 2; the sum of the area of the right triangle of the four shadow parts is 4 × 12ab; from the graph relationship, we can see that the area of the big square = the area of the blank square + the area of the four right triangle, that is, C2 = (B-A) 2 + 4 × 12ab = b2-2ab + a

How to get the height of the hypotenuse of a right triangle

Hook length times strand length = hypotenuse (Xuan) times height ~ according to the equal area of triangle

If the two right sides of a right triangle are 1.6 unit length and 2.4 unit length respectively, does the Pythagorean theorem hold? Explain your reason?

As long as it is a right triangle, the Pythagorean theorem will hold
Beveled edge = √ (1.6? 2 + 2.4?) = 3.84

Two congruent right triangles and one isosceles right triangle prove Pythagorean theorem The waist of that isosceles right triangle is equal to the hypotenuse of that right triangle

Two congruent right triangles are placed vertically and horizontally, and then the isosceles right triangle is placed between them to form a trapezoid. The upper bottom and the lower bottom are respectively the shorter right angle side of an congruent right angle triangle and the longer right angle side of another congruent right angle triangle

Pythagorean theorem: if the two right sides of a right triangle are distinguished as a, B, and the hypotenuse is C, then_____ Of the two right sides of a right triangle_____ Equal to hypotenuse______ In ancient China, the shorter right side of a right triangle was called______ The longer right side is called______ The bevel is called_______ Therefore, the above conclusion is conventionally called______ . There was no class today. The teacher told us to do our homework, so I couldn't understand it

Pythagorean theorem: if the two right sides of a right triangle are distinguished as a, B, and the hypotenuse is C, then [a 2 + B 2 = C 2],
That is, the sum of squares of the two right sides of a right triangle is equal to the square of the hypotenuse,
In ancient China, the shorter right angle side of a right triangle is called "hook", the longer right angle side is called "thigh", and the oblique side is called "string". Therefore, the above conclusion is conventionally called "Pythagorean theorem"

As shown in the figure, a puzzle of four congruent right triangles. Can you verify the Pythagorean theorem? Try it

According to the meaning of the title, the area of the small square in the middle (B − a) 2 = C2 − 4 × 1
2ba;
A 2 + B 2 = C 2,
It is proved that the square of the hypotenuse in a right triangle is equal to the sum of the squares of the two right sides

How to prove with Pythagorean theorem: if the hypotenuse and right angle of two right triangles are proportional, then the two right triangles are similar?

It is known that RT △ ABC and RT △ def, ∠ C = ∠ f = 90 ° DF = KAC, de = KAB
Verification: Fe = KCB
Is that ok? If so, I'll show you, OK?

Given that the long side of a right triangle is 30cm and the angle between the hypotenuse and the long side is 20 degrees, the length of the short side is calculated

“gongjin2001”:
Can you use function? Tangent = opposite / adjacent edge, TG3 ° = 0.05241 (look up table or use computer)
0.05241 = opposite side / 130cm
Opposite side = 130cm × 0.05241 = 6.8133cm
A: short side length: 816 cm
Do you understand? Good bye