मराठी

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.

बेरीज

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Pythagoras Theorem - Exercise 17.1

APPEARS IN

फ्रँक Mathematics [English] Class 9 ICSE
पाठ 17 Pythagoras Theorem
Exercise 17.1 | Q 2

संबंधित प्रश्‍न

In Fig., ∆ABC is an obtuse triangle, obtuse angled at B. If AD ⊥ CB, prove that AC2 = AB2 + BC2 + 2BC × BD


ABCD is a rhombus. Prove that AB2 + BC2 + CD2 + DA2= AC2 + BD2


P and Q are the mid-points of the sides CA and CB respectively of a ∆ABC, right angled at C. Prove that:

`(i) 4AQ^2 = 4AC^2 + BC^2`

`(ii) 4BP^2 = 4BC^2 + AC^2`

`(iii) (4AQ^2 + BP^2 ) = 5AB^2`


 In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AD2 = BD × CD


Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals


In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2

(ii) AF2 + BD2 + CE= AE2 + CD2 + BF2


 
 

In an equilateral triangle ABC, D is a point on side BC such that BD = `1/3BC` . Prove that 9 AD2 = 7 AB2

 
 

Prove that the points A(0, −1), B(−2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD?


For finding AB and BC with the help of information given in the figure, complete following activity.

AB = BC ..........

∴ ∠BAC =

∴ AB = BC = × AC

                 = × `sqrt8`

                 = × `2sqrt2`

                 =


Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.


Digonals of parallelogram WXYZ intersect at point O. If OY =5, find WY.


In the given figure, ∠B = 90°, XY || BC, AB = 12 cm, AY = 8cm and AX : XB = 1 : 2 = AY : YC.

Find the lengths of AC and BC.


AD is perpendicular to the side BC of an equilateral ΔABC. Prove that 4AD2 = 3AB2.


The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ2 = 2PR2 + QR2 


Find the unknown side in the following triangles


In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is ______.


In figure, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, find QS, RS and QR.


If the areas of two circles are the same, they are congruent.


The hypotenuse (in cm) of a right angled triangle is 6 cm more than twice the length of the shortest side. If the length of third side is 6 cm less than thrice the length of shortest side, then find the dimensions of the triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×