Täisnurkse kolmnurga lahendamine 3

• Ruudu külg on  cm.
• Ruudu diagonaali arvutan Pythagorase teoreemiteravnurga siinuseteravnurga koosinuseteravnurga tangensiruudu pindala abil.

Vastus. Ruudu diagonaali pikkus on $\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="f2cc5398-d5be-4eba-9f4f-7253b5d2b186"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\sqrt{\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="eff3c54c-40b5-4a5f-b368-95e90d4c029b"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}}$ cm.

Ruudu külg on  cm.

Vastus. Ruudu diagonaal on $\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="e5f525f6-b498-4b6d-bd92-227c8a72af00"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\sqrt{\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="69734a75-11c5-4ced-b241-208a3343cd5d"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}}$ cm.

Vastus. Kolmnurga külg on  dm.

S = $36\sqrt{3}$ cm²
a =  cm

Vastus. Kolmnurga kõrgus
h = $\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="80490125-4043-4c21-a9e5-3c07e930910c"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\sqrt{\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="64beb341-34d3-4181-87eb-24f85457c411"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}}$ cm.

 Kuusnurga apoteem
r = $\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="daff56a0-a05b-4bb3-911b-988f3b4b6052"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\sqrt{\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="862bbe01-d278-464e-92a0-d01a6cd9fa1c"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}}$ cm.

Vastus. Kuusnurga pindala
S =  $\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; half"\; data-key="d79adc6e-225e-4c2b-9d19-c65468083d88"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}\sqrt{\mathrm{<semantics\; class="mathml-form-input"><annotation-xml\; encoding="application/xhtml+xml"><span\; class="gap\; fourth"\; data-key="ab98f0f7-cbf0-448d-9f6b-5e53a2459eff"\; contenteditable="true"\; xmlns="http://www.w3.org/1999/xhtml"\; data-empty-is-error="true"></span></annotation-xml></semantics>}}$ cm².

• Kolmnurga tipunurk α ≈ °.
• Kolmnurga alus on ligikaudu  cm.

Vastus. Seitsenurga pindala
S ≈  cm².

• r ≈  cm
• a ≈  cm

Vastus. Kümmenurga pindala on ligikaudu  cm².