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Find the lengths of the sides of the triangle PQR. P(7, 6, 3), Q(5, 4, 2), R(5, 10, −1)
Find the lengths of the sides of the triangle PQR. P(7, 6, 3), Q(5, 4, 2), R(5, 10, −1) i. |PQ| = 3
ii. |QR| = 3√5
iii. |RP| = 6
a. Is it a right triangle?
b. Yes No Is it an isosceles triangle?
Answer:a) YESb) NOStep-by-step explanation:The length of of the sides of the triangle can be found using the distance formula:where the A and B arefor our triangle PQR:To find whether the triangle is right angled or not.we can use the Pythagoras theorem,the square of the larger side must be equal to the sum of the squares of the smaller sides, this is why QR is on the Left hand side of the equation.since the sides of the triangle satisfy the Pythagoras theorem. We can confidently say that the triangle PQR is a right angled triangleFor a triangle to be isosceles, there must be two sides that are equal in length. Since the triangle PQR has all different sides, it is not an isosceles triangle!...
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