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Answers
Answer:
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Answer:
1. 225√3 m²
2. 84°
Step-by-step explanation:
1.one side of an equilateral triangle is x
perimeter is x + x+ x=3x
3x = 90
x = 90/3 = 30
this means that one side is 30
knowing the sides we can use heron's formula to solve this equation
√(S) * (S-a) * (S-b) * (S-ca,b and being the sides of the triangle
S= a+b+c/2
=30+30+30/2
90/2 = 45
=√(45) * (45-30) * (45-30) * (45-30)
=√45 * 15 * 15 * 15
= 225√3 m²
2. ΔPQR is an isosceles triangle because it has 2 equal sides
it also has 2 equal angles which are ∠QPR and ∠ PRQ
if ∠QPR is 48° then ∠ PRQ is also 48°
we are looking for ∠ PQR
we know that
∠PQR + ∠QPR + ∠ PRQ = 180° (sum of angles in a triangle)
x + 48 +48 = 180
x + 96 = 180
x = 180 - 96
x = 84
∴∠PQR = 84°