Problem

7. Calculate the area of isoceles triangle $\triangle H I J$ if $a=10$ and $b=27$. 131.62 129.33 130.53 132.66 None of these answers are correct.

Solution

Step 1 :Given an isosceles triangle with equal sides a = 10 and base b = 27, find the area.

Step 2 :Calculate half of the base: c = \(\frac{27}{2}\) = 13.5

Step 3 :Use the Pythagorean theorem to find the height: h^2 = a^2 - c^2

Step 4 :Since the sum of the two equal sides (10 + 10 = 20) is less than the length of the base (27), the triangle cannot exist.

Step 5 :\boxed{\text{None of these answers are correct.}}

From Solvely APP
Source: https://solvelyapp.com/problems/16194/

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