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2 answers:
Answer: The value of 'n' is 6.
Step-by-step explanation: Given that ΔXWZ is an isosceles triangle, where XZ = n, WZ = 2n - 5, and the perimeter of the triangle is 20 units.
We are to find the value of 'n'.
As given in the figure, in ΔXWZ,
WX = WZ.
So, WX = 2n - 5.
We know that the perimeter of a triangle is equal to the sum of its three sides, so the perimeter of ΔXWZ is given by
According to the question, we have
Thus, the value of 'n' is 6.
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Answer:
∠Q = 63.4º, PQ = 2, QO = 4.47
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.
Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).
90 + 26.6 + ∠Q = 180
∠Q + 116.6 = 180
∠Q = 180 - 116
∠Q = 63.4°
We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:
