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In Each of the Figures Given Below, an Altitude is Drawn to the Hypotenuse by a Right-angled Triangle. the Length of Different Line-segment Are Marked in Each Figure. Determine X, Y, Z in Each Case. - Mathematics


In each of the figures given below, an altitude is drawn to the hypotenuse by a right-angled triangle. The length of different line-segment are marked in each figure. Determine x, y, z in each case.

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Δ PQR  is a right triangle, right angled at Q

`6+z^2 = (4+x)^2`





Δ QSP  is a right triangle right angled at S









Δ QSR  is a right triangle right angled at S



Now substituting  `y^2+x^2=z^2` in equation (i) we get







Now substituting ` x = 5` and  `y^2=20` in equation (ii) we get







Hence the value of x, y and z are  `5,2sqrt5,3sqrt5`

Concept: Triangles Examples and Solutions
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RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 21.2 | Page 126
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