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Pythagoras Theorem — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSPythagoras Theorem3 Marks
Question
Use the information given in the figure to find the length $A D$.
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Answer

Given:
$ \begin{aligned} & A B=20 \mathrm{~cm} \\ & \therefore A O=A B=\frac{20}{2}=10 \mathrm{~cm} \\ & B C=O D=24 \mathrm{~cm} \end{aligned} $
To find: Length of $A D$
In right angled triangle
$ \begin{aligned} & A O D(A D)^2=(A O)^2+(O D)^2 \\ & (A D)^2=(10)^2+(24)^2 \\ & (A D)^2=100+576 \\ & (A D)^2=676 \\ & \therefore A D=\sqrt{26 \times 26} \\ & A D=26 \mathrm{~cm} \end{aligned} $

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