How do you find the leg of a right triangle

Asked by admin @ 05/11/2021 in Mathematics viewed by 276 People

What length is the shorter leg of a right triangle that has hypotenuse 50 in long and its perimeter is 112 inches?

Answered by admin @ 05/11/2021

The perimeter of a triangle is given by:

Perimeter = sum of three sides

We are given perimeter = 112 in.

Hypotenuse = 50 in.

Let us say the other two sides are a and b.

So , we have

$a+b+50 =112$

$a+b =62$

$a =62-b$ ...............(2)

In a right angle triangle we can apply pythagorean theorem,

a² + b² = c²

here c is hypotenuse which is 50 in.

a²+b² = 50²

a²+b² = 2500............(2)

Plugging the value of a from equation (1) in (2)

$(62-b)^{2}+b^{2}=2500$

$3844-124b+(b)^{2}+b^{2}=2500$

$2(b)^{2}-124b+1344=0$

Factorising ,

$(b-14)(b-48)=0$

So we have two values of b

b=14 and b=48

If b=14, a=48

If b=48, a=14

Answer: The shorter leg will be 14 inches.

Which of the following are right triangle congruence theorems? check all that apply. a. hypotenuse-angle (ha) b. hypotenuse-leg (hl) c. leg-leg (ll) d. leg-angle (la

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 424 persons

Which of the following are right triangle congruence theorems? check all that apply. a. hypotenuse-angle (ha) b. hypotenuse-leg (hl) c. leg-leg (ll) d. leg-angle (la)

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 376 persons

How do you find the angles of a right triangle

Asked by admin @ 07/11/2021 in Mathematics viewed by 323 persons

Explain how to find the measures of the angles in a right triangle, given the lengths of two sides.

How to find the base of a right angled triangle

Asked by admin @ 04/08/2021 in Math viewed by 311 persons

Formula of finding base of right angled triangle

How to find the missing angle of a right triangle

Asked by admin @ 27/11/2021 in Mathematics viewed by 295 persons

How do you solve for a missing angle of theta in a right triangle?

How to find length of right triangle with only angles

Asked by admin @ 26/11/2021 in Mathematics viewed by 282 persons

How to find the length of a triangle with only one side non right triangle?

Find the missing angle of a right triangle using trigonometry

Asked by admin @ 22/11/2021 in Mathematics viewed by 311 persons

How do I find the missing sides of this triangle by using trigonometry I dont know if I did this right

How to find the 3rd side of a right triangle

Asked by admin @ 10/11/2021 in Mathematics viewed by 466 persons

Two sides of a right triangle are equal to 3m and 4m. Find the length of the third side. (Two cases)If the two given sides are both legs, then the …

How to find the area of a non right triangle

Asked by admin @ 10/11/2021 in Mathematics viewed by 326 persons

How to find the length of a triangle with only one side non right triangle?

How to find angle in right triangle with 3 sides

Asked by admin @ 05/11/2021 in Mathematics viewed by 379 persons

Explain how to find the measures of the angles in a right triangle, given the lengths of two sides.

How to find the hypotenuse of a right angle triangle

Asked by admin @ 03/11/2021 in Mathematics viewed by 311 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …

How to find 2 unknown sides of a right triangle

Asked by admin @ 29/10/2021 in Mathematics viewed by 283 persons

Solve for the unknown side in the right triangle if b=24 and c=26 find a A.8 B.9 C.10 D.11

How to find sides and angles of a right triangle

Asked by admin @ 29/10/2021 in Mathematics viewed by 337 persons

Explain how to find the measures of the angles in a right triangle, given the lengths of two sides.

How do you find the hypotenuse of a right triangle

Asked by admin @ 28/10/2021 in Mathematics viewed by 315 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …

How do i find the hypotenuse of a right triangle

Asked by admin @ 28/10/2021 in Mathematics viewed by 277 persons

To solve for the hypotenuse of a right triangle, what information do you need? A. just the measure of one of the acute angles and the length of one side …