Question

BASE OF AN ISOSCELES TRIANGLE IS 10 CM AND THE LENGTH OF EQUAL SIDE IS 13CM . FIND THE HIEGH IF TRIANGLE​

Answer 1

Answer:

Height of triangle = 12cm//

Step-by-step explanation:

Base length = 10cm

Length of each equal side = 13cm

In an isosceles triangle, the perpendicular height from the base bisects the base.

  ∴ The height can be found using pythagoras' theorem.

A right triangle is formed when the height bisects the base into half.

Base of right triangle = 10/2 = 5cm

Length of hypotenuse = 13cm

Length of perpendicular height = $\sqrt{hypotenuse^{2} - base^{2} }$

                                                     = $\sqrt{13^{2} - 5^{2} }$

                                                     = $\sqrt{169 - 25}$

                                                     = $\sqrt{144}$

                                                     = 12cm//

Height of triangle = 12cm//

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