If the area of a triangle is 20cm and the length of its base is 5cm, find the triangle’s height.Īns.Quiz & Worksheet Altitude & Geometry So, the given measures cannot form a triangle. To form a triangle, the sum of any two sides should always be greater than the third side.įor the given measurements, 3cm + 6cm = 9cm is greater than 2cm, 6cm + 2cm = 8cm is greater than 3cm, but 2cm + 3cm = 5cm is lesser than 6 cm. Is it possible to form a triangle with sides measuring 2cm, 3cm, and 6cm?Īns. The third angle of the triangle measures 50⁰. We know that the sum of all angles of a triangle is 180⁰. Angles A and B of a triangle ABC measure 70⁰ and 60⁰, respectively. Find the length of the third side of the triangle. The perimeter of the triangle PQR is 16cm and the sides PQ and QR measure 4cm and 6cm. The shape is not a triangle as it is an open figure with three open sides. The shape is not a triangle as it has four sides.Ĭ. The given figure is a triangle as it has three straight sides and is a closed figure.ī. Identify if the given shape is a triangle or not and also give reasons.Īns. So, Perimeter of △ABC= AB + BC + CA = 5 + 7 + 5 = 17 cm. In the given figure, the lengths of sides of triangle ABC are We know that, Perimeter of a triangle = (Sum of all sides of the triangle) Using the below figure, find the perimeter of the triangle ABC.Īns. So, Area of the given triangle= ½ (10 x 8) = ½ (80) = 40 cm 2 For the given triangle, base = 10 cm and height = 8 cmĪrea of a triangle= ½ (Product of base and height of a triangle) Find the area of a triangle with a base equal to 10 cm and height equal to 8 cm.Īns. In triangle PQR, the perimeter will be the sum of the three sides, i.e., PQ, QR, and RP. So, the perimeter of the triangle = Sum of all three sides. The perimeter of a triangle is the sum of the length of all sides of the triangle. So, to find the area of △PQR, we use the following formula:Īrea △PQR = ½ (Product of base and height of a triangle) PS is perpendicular from vertex P to the side QR. QR is the triangle’s base, and PS is the triangle’s height. In the triangle PQR, PQ, QR, and RP are the sides. So, the Area of a triangle = ½ (Product of base and height of a triangle) If we know the base length and height of a triangle, we can determine its area. The area of different triangles differs based on their size. The area of a triangle is the region that the triangle occupies in 2d space. Triangles classified based on both angles and sides are – To classify triangles according to both angles and sides, we measure the interior angles and length of the sides of the triangle. The types of triangles based on the length of the sides are –
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