Guest Jun 11, 2015

#1**+10 **

Assuming that the lateral sides are the equal ones, we have

x + 2*(5/4)x = 14

x + (10/4)x = 14

(14/4)x = 14 multiply both sides by 4

14x = 56 divide both sides by 14

x = 4 cm and this is the base......and (5/4)x = (5/4)(4) = 5 cm......and this is a lateral side

And by the Pythagorean Theorem, the height will be √[5^2 - 2^2] = √21 cm

So....the area of the triangle will be (1/2)bh = (1/2)(4)√21 = 2√21 cm ≈ 9.165 cm^2

CPhill Jun 11, 2015

#1**+10 **

Best Answer

Assuming that the lateral sides are the equal ones, we have

x + 2*(5/4)x = 14

x + (10/4)x = 14

(14/4)x = 14 multiply both sides by 4

14x = 56 divide both sides by 14

x = 4 cm and this is the base......and (5/4)x = (5/4)(4) = 5 cm......and this is a lateral side

And by the Pythagorean Theorem, the height will be √[5^2 - 2^2] = √21 cm

So....the area of the triangle will be (1/2)bh = (1/2)(4)√21 = 2√21 cm ≈ 9.165 cm^2

CPhill Jun 11, 2015