Question

In triangle ABC, AB=AC=x; BC=15 cm and the area of the triangle is 60 cm^2.find x.​

Answer 1

Answer:

In △ABC,

AB=AC=x and BC=10 cm

Draw a perpendicular from A on BC such that AD⊥BC

In an Isosceles triangle a perpendicular bisects the non- congruent side.

Hence, BD= 1/2 (10)=5 cm

In △ADB,

AB 2=AD 2+BD 2

x 2=AD 2 +5 2

AD=√x 2 -25

Area of triangle = 1/2AD×BC

60= 1/2√(x 2 −25)(10)

12= √x 2−25

144=x 2−25

x 2 =169

x=13 cm

Step-by-step explanation:

Hope it helps you.

Answer 2

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