Core stretch In right-angled triangle $ABC$, $\angle ACB=90^\circ$, $AC=24$ cm and $BC=7$ cm

Question

Core stretch In right-angled triangle $ABC$, $\angle ACB=90^\circ$, $AC=24$ cm and $BC=7$ cm. Point $D$ lies on $AB$ with $CD\perp AB$. Let $AD=x$, $DB=y$. Find $C$ $A$ $B$ $D$ $24$ $7$ $x$ $y$

Accepted Answer

(a) $25$ cm (b) $527\text{ cm}^2$ (c) $21.1$ cm (3 s.f.).

Altitude to the hypotenuse of a 7–24–25 triangle

Altitude to the hypotenuse of a 7–24–25 triangle

Solution:

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