2 years ago

Find the Area of Triangles when lengths of the sides are given below.

Mathematics

2 answers:

ss7ja [257]2 years ago

6 0

Step-by-step explanation:

you should detect which one in the hypothenus!!

Naily [24]2 years ago

5 0

Answer:

84 cm² and 272 cm² (3 sf)

Step-by-step explanation:

Use Heron's formula.

Area = $\sqrt{p(p-a)(p-b)(p-c)}$

where a, b, and c are the lengths of the sides of the triangle

and $p=\frac{a+b+c}{2}$

(i) $p=\frac{13+14+15}{2}=21$

Area = $\sqrt{21(21-13)(21-14)(21-15)} = 84$ cm²

(ii) $p=\frac{103+115+13}{2}=115.5$

Area = $\sqrt{115.5(115.5-103)(115.5-115)(115.5-13)} = \frac{ \sqrt{1183875}}{4} =272$ cm² (3 sf)

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see the attached figure