Advertisements
Advertisements
Question
Find the unknown side in the following triangles
Advertisements
Solution
From ΔXYZ, by Pythagoras theorem,
= YZ2 = XY2 + XZ2
⇒ XY2 = YZ2 – XZ2
Z2 = 392 – 362
= 1521 – 1296
= 225 = 152
z2 = 152
⇒ z = 15
APPEARS IN
RELATED QUESTIONS
ABC is a right-angled triangle, right-angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angle are 5 cm and 12 cm. Find the radius of the circle
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 the given figure, M is the midpoint of QR. ∠PRQ = 90°. Prove that, PQ2 = 4PM2 – 3PR2.

Walls of two buildings on either side of a street are parallel to each other. A ladder 5.8 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street, its top touches the window of the other building at a height 4.2 m. Find the width of the street.
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
The given figure shows a quadrilateral ABCD in which AD = 13 cm, DC = 12 cm, BC = 3 cm and ∠ABD = ∠BCD = 90o. Calculate the length of AB.
Find the side of the square whose diagonal is `16sqrt(2)` cm.
The sides of the triangle are given below. Find out which one is the right-angled triangle?
1.5, 1.6, 1.7
In the figure, find AR
Two rectangles are congruent, if they have same ______ and ______.
