हिंदी

Find the Length of the Hypotenuse of a Triangle Whose Other Two Sides Are 24cm and 7cm. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the length of the hypotenuse of a triangle whose other two sides are 24cm and 7cm.

योग

उत्तर

The two sides (excluding hypotenuse) of a right-angled triangle are given as  24cm and 7cm
(hypotenuse)2 = (24cm)2 + (7cm)2
(hypotenuse)2 = 576cm2 + 49cm2 
(hypotenuse)2 = 625cm2 
(hypotenuse)2 = (25cm)2 
Thus, the length of the hypotenuse of the triangle is 25cm.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Pythagoras Theorem - Exercise 17.1

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 17 Pythagoras Theorem
Exercise 17.1 | Q 2

संबंधित प्रश्न

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.


Identify, with reason, if the following is a Pythagorean triplet.
(10, 24, 27)


In the given figure, ∠DFE = 90°, FG ⊥ ED, If GD = 8, FG = 12, find (1) EG (2) FD and (3) EF


In the given figure, M is the midpoint of QR. ∠PRQ = 90°. Prove that, PQ= 4PM– 3PR2.


In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.


Some question and their alternative answer are given. Select the correct alternative.

If a, b, and c are sides of a triangle and a+ b= c2, name the type of triangle.


Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.


A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.


Find the side of the square whose diagonal is `16sqrt(2)` cm.


Prove that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.


In the figure below, find the value of 'x'.


Find the Pythagorean triplet from among the following set of numbers.

2, 4, 5


The sides of the triangle are given below. Find out which one is the right-angled triangle?

11, 12, 15


The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?


In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AB2 + AC2 = 2(AD2 + CD2)


In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that : 9(AQ2 + BP2) = 13AB2 


In the given figure. PQ = PS, P =R = 90°. RS = 20 cm and QR = 21 cm. Find the length of PQ correct to two decimal places.


There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?


If in a ΔPQR, PR2 = PQ2 + QR2, then the right angle of ∆PQR is at the vertex ________


If ΔABC ~ ΔPQR, `("ar" triangle "ABC")/("ar" triangle "PQR") = 9/4` and AB = 18 cm, then the length of PQ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×