Question

Los lados de un triángulo isoceles miden 45m y subase 54 . Halla su altura y area
con proceso pls doy coronita y REPORTO al que no ayude
PLSS AYUDA :'(​

Answer 1

Verified answer

Respuesta:

h = 36 m

A = 972 m²

Explicación paso a paso:

[tex]\displaystyle h = altura \\\\ a = lado \\\\ b = base \\\\ A = area[/tex]

[tex]\displaystyle h = \sqrt{a^2-\frac{b^2}{4}} \\\\\\ h= \sqrt{45^2-\frac{54^2}{4}} \\\\\\ h=\sqrt{2025-\frac{2916}{4}} \\\\\\ h =\sqrt{2025-729} \\\\\\ h=\sqrt{1296} \\\\\\ \boxed{h=36 \: \mathrm{m}}[/tex]

[tex]\displaystyle A = \frac{b\times h}{2} \\\\\\ A= \frac{54\times 36}{2} \\\\\\ A = \frac{1944}{2} \\\\\\ \boxed{A = 972 \: \mathrm{m^2}}[/tex]