Find the area of a right triangle with a hypotenuse length of 25 cm and a right angle side length of 7 cm

Find the area of a right triangle with a hypotenuse length of 25 cm and a right angle side length of 7 cm

√（25²—7²）x7=24 x7=168

Find the area of a right triangle with a hypotenuse length of 25 cm and a right angle side of 7 cm

Because the slant side is 25cm long and a right angle side is 7cm long,
So from Pythagorean theorem, the length of another right angle side is 24cm
So the area of the right triangle is 24 * 7 / 2 = 84cm
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The sum of the two right sides of a right triangle is 14 cm, and their ratio is 3:4. If the hypotenuse is 10 cm long, the height on the hypotenuse is () cm A. 2.4 B. 3.6 C. 4.8

3+4=7，
The two right sides of a right triangle are:
14×4
7 = 8 (CM),
14×3
7 = 6 (CM),
The area is 6 × 8 △ 2 = 24 (square centimeter),
The height on the bevel is 24 × 2 △ 10 = 4.8 (CM)
A: the height on the bevel is 4.8 cm
Therefore, C

The ratio of two right angles of a right triangle is 3:4, and the sum is 14 cm. The length of the hypotenuse is 10 cm and the height on the hypotenuse is () What is the height on the bevel?

Let the length of two sides be, 3x, 4x
3x+4x=14
X=2
Let H = H
6*8=10*h
h=4.8

Given that the length of the center line on the hypotenuse of a right triangle is 13 and the sum of the two right sides is 34, find the area of the triangle

Let the length of two right angles a and B respectively,
Hypotenuse = 13 * 2 = 26 the square of the hypotenuse = 26? = 676
(a+b)^2=a^2+2ab+b^2=2ab+676=34²=1156
That is, 2Ab = 1156-676 = 480, the area of right triangle = 1 / 2 * AB = 480 / 2 * 1 / 2 = 120

The circumference of a right triangle is known to be 4 + 2 If the center line of the hypotenuse is 2, then its area is______ .

Let the two right sides of a right triangle be a, B, and the length of the hypotenuse is C
∵ the center line of the hypotenuse is 2,
The length of the bevel side is 4,
∴a+b=2
6，
∵a2+b2=c2，
∴（a+b）2-2ab=16，
∴2ab=8，
ab=4，
∴1
2ab=2．
So the answer is: 2

The circumference of a right triangle is known to be 4 + 2 If the center line of the hypotenuse is 2, then its area is______ .

Let the two right sides of a right triangle be a, B, and the length of the hypotenuse is C
∵ the center line of the hypotenuse is 2,
The length of the bevel side is 4,
∴a+b=2
6，
∵a2+b2=c2，
∴（a+b）2-2ab=16，
∴2ab=8，
ab=4，
∴1
2ab=2．
So the answer is: 2

It is known that the center line on the hypotenuse of a right triangle is 1 and its circumference is 2+ 6, then the area of the triangle is () A. 1 Two B. 1 C. 2 D. Six

Let the length of two right angles be x, y respectively;
∵ the length of the center line on the hypotenuse of a right triangle is 1, so the length of the oblique side is 2. The perimeter is 2+
6 = x + y + 2, x + y=
6．①
From Pythagorean theorem
x2+ y2 ＝2．②
① The area of the triangle is 1
2xy=1
2．
Therefore, a

If the ratio of two right angles of a right triangle is 5:12, and the length of its hypotenuse is 5.2cm, then the area of the right triangle is

(5a)²+(12a)²=5.2²
169a²=5.2²
a²=5.2²/13²
a=0.4
5x0.4=2
12x0.4=4.8
Area: 2x4.8 ÷ 2 = 4.8cm

A right triangle has a circumference of 12 cm, a hypotenuse of 5 cm, and a right angle side of 4 cm. The area of this right triangle is ()

The length of the other right angle side is 3cm, and its area is 3 × 4 △ 2 = 6 (square centimeter)