The hypotenuse of a right triangle is 25 cm

Asked by admin @ 12/08/2021 in Math viewed by 336 People

the hypotenuse of a right triangle is 25cm. the difference between the lengths of the other two sides of the triangle is 5cm. find the lengths of these sides.

Answered by admin @ 12/08/2021

Let the length of the shorter side be x cm.

Then, the length of the shorter side = (x+5) cm

By Pythagoras theorem,

${x }^{2} + (x + 5) ^{2} = {25}^{2}$

$⇒ \: {x}^{2} + {x}^{2} + 10x + 25 = 625$

$⇒ \: 2 {x}^{2} + 10x - 600 = 0$

$⇒ \: {x}^{2} + 5x - 300 = 0$

$⇒ \: (x + 20)(x - 15) = 0$

This gives x = 15 or x = - 20

Rejecting x = -20, we get x = 15

$\fbox\bold{Length \: of \: Shorter \: side = 15 cm}$

$\fbox \bold{Length \: of \: Longer \: side = 20 cm}$

A right triangle has hypotenuse of length p cm

Asked by admin @ 23/08/2021 in Math viewed by 707 persons

A right triangle has hypotenuse p cm and one side q cm .if p-q=1,find the length of the third sides.

The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. find the area of the triangle. b = 2 in.; c = 6 in. a = sq. in.

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 330 persons

How to find the hypotenuse of a right angle triangle

Asked by admin @ 03/11/2021 in Mathematics viewed by 310 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 you find the hypotenuse of a right triangle

Asked by admin @ 28/10/2021 in Mathematics viewed by 312 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 274 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 …

The hypotenuse of a right triangle has its ends

Asked by admin @ 17/08/2021 in Math viewed by 283 persons

the hypotenuse of a right angled triangle has its ends at the points (1,3)and (-4,1) find an equation of the legs (perpendicular sides) of the triangle

The altitude of a right triangle is 7 cm

Asked by admin @ 12/08/2021 in Math viewed by 332 persons

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

How to find the length of hypotenuse of right triangle

Asked by admin @ 26/11/2021 in Mathematics viewed by 276 persons

Find the length of the hypotenuse of a right triangle if a = 3 and b = 4. A) 3.5 B) 5 C) 6 D) 7

Find two sides of a right triangle given the hypotenuse

Asked by admin @ 10/11/2021 in Mathematics viewed by 326 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 the hypotenuse of a non right triangle

Asked by admin @ 05/11/2021 in Mathematics viewed by 278 persons

The law of sines can only be applied to nonright triangles A.True B.False

In a right triangle the square of the hypotenuse

Asked by admin @ 16/08/2021 in Math viewed by 265 persons

In a right triangle, prove that the square on the hypotenuse is equal to sum of the squares on the other two sides

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 421 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 372 persons

A parallelogram has coordinates of (5, 17), (10, 20), (18, 9), and (13, 6). which right triangle represents one of the cutouts from the box method?

Asked by suad2254 @ 02/06/2022 in Mathematics viewed by 375 persons

The hypotenuse of a right triangle is 25 cm

Similar Questions

A right triangle has hypotenuse of length p cm

The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. find the area of the triangle. b = 2 in.; c = 6 in. a = sq. in.

How to find the hypotenuse of a right angle triangle

How do you find the hypotenuse of a right triangle

How do i find the hypotenuse of a right triangle

The hypotenuse of a right triangle has its ends

The altitude of a right triangle is 7 cm

How to find the length of hypotenuse of right triangle

Find two sides of a right triangle given the hypotenuse

How to find the hypotenuse of a non right triangle

In a right triangle the square of the hypotenuse

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

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)

A parallelogram has coordinates of (5, 17), (10, 20), (18, 9), and (13, 6). which right triangle represents one of the cutouts from the box method?

How to find the missing angle of a right triangle

Most viewed questions in Math

What is the value of x in the expression

Shubham is facing south and moves 30 km

Prachi excellence in mathematics class 7 solutions pdf free download

Oxford new enjoying mathematics class 7 solutions chapter 1

Survey of various types of bank accounts icse project

The town of p is located at point x

A clock gains 4 minutes after every 4 minutes

Running a tuck shop or canteen maths project pdf

Paul is sixteenth from the front of the row

The average weight of 20 teachers is 80 kg

The number 567 xy is completely divisible by 30

In a row of friends tiya occupies fifteenth place

What would $ mean if fat is coded as

Consider a 3 digit integer x with distinct digits

Rahul went to his mother's mother in law